Finding the Third Proportional to 31,800 and 69,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,800 : 69,148.50 = 69,148.50 : x
2. Step 2: Convert to fraction form
   31,800/69,148.50 = 69,148.50/x
3. Step 3: Cross multiply
   31,800x = 69,148.50 × 69,148.50
4. Step 4: Simplify right side
   31,800x = 4,781,515,052.25
5. Step 5: Solve for x
   x = 4,781,515,052.25/31,800
6. Step 6: Final answer
   x = 150,362.11