Finding the Third Proportional to 34,926 and 71,466

Step by Step Solution

1. Step 1: Write the proportion equation
   34,926 : 71,466 = 71,466 : x
2. Step 2: Convert to fraction form
   34,926/71,466 = 71,466/x
3. Step 3: Cross multiply
   34,926x = 71,466 × 71,466
4. Step 4: Simplify right side
   34,926x = 5,107,389,156
5. Step 5: Solve for x
   x = 5,107,389,156/34,926
6. Step 6: Final answer
   x = 146,234.59