Finding the Third Proportional to 34,187.50 and 71,830

Step by Step Solution

1. Step 1: Write the proportion equation
   34,187.50 : 71,830 = 71,830 : x
2. Step 2: Convert to fraction form
   34,187.50/71,830 = 71,830/x
3. Step 3: Cross multiply
   34,187.50x = 71,830 × 71,830
4. Step 4: Simplify right side
   34,187.50x = 5,159,548,900
5. Step 5: Solve for x
   x = 5,159,548,900/34,187.50
6. Step 6: Final answer
   x = 150,919.16