Finding the Third Proportional to 31,845 and 69,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,845 : 69,217.50 = 69,217.50 : x
2. Step 2: Convert to fraction form
   31,845/69,217.50 = 69,217.50/x
3. Step 3: Cross multiply
   31,845x = 69,217.50 × 69,217.50
4. Step 4: Simplify right side
   31,845x = 4,791,062,306.25
5. Step 5: Solve for x
   x = 4,791,062,306.25/31,845
6. Step 6: Final answer
   x = 150,449.44