Finding the Third Proportional to 31,200 and 67,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,200 : 67,654.50 = 67,654.50 : x
2. Step 2: Convert to fraction form
   31,200/67,654.50 = 67,654.50/x
3. Step 3: Cross multiply
   31,200x = 67,654.50 × 67,654.50
4. Step 4: Simplify right side
   31,200x = 4,577,131,370.25
5. Step 5: Solve for x
   x = 4,577,131,370.25/31,200
6. Step 6: Final answer
   x = 146,702.93