Finding the Third Proportional to 53,082 and 77,434

Step by Step Solution

1. Step 1: Write the proportion equation
   53,082 : 77,434 = 77,434 : x
2. Step 2: Convert to fraction form
   53,082/77,434 = 77,434/x
3. Step 3: Cross multiply
   53,082x = 77,434 × 77,434
4. Step 4: Simplify right side
   53,082x = 5,996,024,356
5. Step 5: Solve for x
   x = 5,996,024,356/53,082
6. Step 6: Final answer
   x = 112,957.77