Finding the Third Proportional to 5,514,649,417,872 and 12,068,142,663,350

Step by Step Solution

1. Step 1: Write the proportion equation
   5,514,649,417,872 : 12,068,142,663,350 = 12,068,142,663,350 : x
2. Step 2: Convert to fraction form
   5,514,649,417,872/12,068,142,663,350 = 12,068,142,663,350/x
3. Step 3: Cross multiply
   5,514,649,417,872x = 12,068,142,663,350 × 12,068,142,663,350
4. Step 4: Simplify right side
   5,514,649,417,872x = 145,640,067,342,968,439,135,272,960
5. Step 5: Solve for x
   x = 145,640,067,342,968,439,135,272,960/5,514,649,417,872
6. Step 6: Final answer
   x = 26,409,669,283,957.53