Finding the Third Proportional to 31,894.50 and 69,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,894.50 : 69,616.50 = 69,616.50 : x
2. Step 2: Convert to fraction form
   31,894.50/69,616.50 = 69,616.50/x
3. Step 3: Cross multiply
   31,894.50x = 69,616.50 × 69,616.50
4. Step 4: Simplify right side
   31,894.50x = 4,846,457,072.25
5. Step 5: Solve for x
   x = 4,846,457,072.25/31,894.50
6. Step 6: Final answer
   x = 151,952.75