Finding the Third Proportional to 34,481 and 53,414

Step by Step Solution

1. Step 1: Write the proportion equation
   34,481 : 53,414 = 53,414 : x
2. Step 2: Convert to fraction form
   34,481/53,414 = 53,414/x
3. Step 3: Cross multiply
   34,481x = 53,414 × 53,414
4. Step 4: Simplify right side
   34,481x = 2,853,055,396
5. Step 5: Solve for x
   x = 2,853,055,396/34,481
6. Step 6: Final answer
   x = 82,742.83