Finding the Third Proportional to 34,292 and 69,538

Step by Step Solution

1. Step 1: Write the proportion equation
   34,292 : 69,538 = 69,538 : x
2. Step 2: Convert to fraction form
   34,292/69,538 = 69,538/x
3. Step 3: Cross multiply
   34,292x = 69,538 × 69,538
4. Step 4: Simplify right side
   34,292x = 4,835,533,444
5. Step 5: Solve for x
   x = 4,835,533,444/34,292
6. Step 6: Final answer
   x = 141,010.54