Finding the Third Proportional to 34,713 and 76,252.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,713 : 76,252.50 = 76,252.50 : x
2. Step 2: Convert to fraction form
   34,713/76,252.50 = 76,252.50/x
3. Step 3: Cross multiply
   34,713x = 76,252.50 × 76,252.50
4. Step 4: Simplify right side
   34,713x = 5,814,443,756.25
5. Step 5: Solve for x
   x = 5,814,443,756.25/34,713
6. Step 6: Final answer
   x = 167,500.47