Finding the Third Proportional to 34,506 and 71,217

Step by Step Solution

1. Step 1: Write the proportion equation
   34,506 : 71,217 = 71,217 : x
2. Step 2: Convert to fraction form
   34,506/71,217 = 71,217/x
3. Step 3: Cross multiply
   34,506x = 71,217 × 71,217
4. Step 4: Simplify right side
   34,506x = 5,071,861,089
5. Step 5: Solve for x
   x = 5,071,861,089/34,506
6. Step 6: Final answer
   x = 146,984.90