Finding the Third Proportional to 34,666 and 71,709

Step by Step Solution

1. Step 1: Write the proportion equation
   34,666 : 71,709 = 71,709 : x
2. Step 2: Convert to fraction form
   34,666/71,709 = 71,709/x
3. Step 3: Cross multiply
   34,666x = 71,709 × 71,709
4. Step 4: Simplify right side
   34,666x = 5,142,180,681
5. Step 5: Solve for x
   x = 5,142,180,681/34,666
6. Step 6: Final answer
   x = 148,334.99