Finding the Third Proportional to 34,814 and 71,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,814 : 71,471.50 = 71,471.50 : x
2. Step 2: Convert to fraction form
   34,814/71,471.50 = 71,471.50/x
3. Step 3: Cross multiply
   34,814x = 71,471.50 × 71,471.50
4. Step 4: Simplify right side
   34,814x = 5,108,175,312.25
5. Step 5: Solve for x
   x = 5,108,175,312.25/34,814
6. Step 6: Final answer
   x = 146,727.62