Finding the Third Proportional to 30,856.50 and 67,416.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,856.50 : 67,416.75 = 67,416.75 : x
2. Step 2: Convert to fraction form
   30,856.50/67,416.75 = 67,416.75/x
3. Step 3: Cross multiply
   30,856.50x = 67,416.75 × 67,416.75
4. Step 4: Simplify right side
   30,856.50x = 4,545,018,180.56
5. Step 5: Solve for x
   x = 4,545,018,180.56/30,856.50
6. Step 6: Final answer
   x = 147,295.32