Finding the Third Proportional to 34,290 and 69,534

Step by Step Solution

1. Step 1: Write the proportion equation
   34,290 : 69,534 = 69,534 : x
2. Step 2: Convert to fraction form
   34,290/69,534 = 69,534/x
3. Step 3: Cross multiply
   34,290x = 69,534 × 69,534
4. Step 4: Simplify right side
   34,290x = 4,834,977,156
5. Step 5: Solve for x
   x = 4,834,977,156/34,290
6. Step 6: Final answer
   x = 141,002.54