Finding the Third Proportional to 31,541,142,141 and 67,866,080,913

Step by Step Solution

1. Step 1: Write the proportion equation
   31,541,142,141 : 67,866,080,913 = 67,866,080,913 : x
2. Step 2: Convert to fraction form
   31,541,142,141/67,866,080,913 = 67,866,080,913/x
3. Step 3: Cross multiply
   31,541,142,141x = 67,866,080,913 × 67,866,080,913
4. Step 4: Simplify right side
   31,541,142,141x = 4,605,804,938,489,863,077,888
5. Step 5: Solve for x
   x = 4,605,804,938,489,863,077,888/31,541,142,141
6. Step 6: Final answer
   x = 146,025,306,182.65