Finding the Third Proportional to 16,292 and 35,419

Step by Step Solution

1. Step 1: Write the proportion equation
   16,292 : 35,419 = 35,419 : x
2. Step 2: Convert to fraction form
   16,292/35,419 = 35,419/x
3. Step 3: Cross multiply
   16,292x = 35,419 × 35,419
4. Step 4: Simplify right side
   16,292x = 1,254,505,561
5. Step 5: Solve for x
   x = 1,254,505,561/16,292
6. Step 6: Final answer
   x = 77,001.32