Finding the Third Proportional to 53,429 and 83,060

Step by Step Solution

1. Step 1: Write the proportion equation
   53,429 : 83,060 = 83,060 : x
2. Step 2: Convert to fraction form
   53,429/83,060 = 83,060/x
3. Step 3: Cross multiply
   53,429x = 83,060 × 83,060
4. Step 4: Simplify right side
   53,429x = 6,898,963,600
5. Step 5: Solve for x
   x = 6,898,963,600/53,429
6. Step 6: Final answer
   x = 129,123.95