Finding the Third Proportional to 1,946.53 and 5,116.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.53 : 5,116.92 = 5,116.92 : x
2. Step 2: Convert to fraction form
   1,946.53/5,116.92 = 5,116.92/x
3. Step 3: Cross multiply
   1,946.53x = 5,116.92 × 5,116.92
4. Step 4: Simplify right side
   1,946.53x = 26,182,889.47
5. Step 5: Solve for x
   x = 26,182,889.47/1,946.53
6. Step 6: Final answer
   x = 13,451.05