Finding the Third Proportional to 31,500 and 67,954.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,500 : 67,954.50 = 67,954.50 : x
2. Step 2: Convert to fraction form
   31,500/67,954.50 = 67,954.50/x
3. Step 3: Cross multiply
   31,500x = 67,954.50 × 67,954.50
4. Step 4: Simplify right side
   31,500x = 4,617,814,070.25
5. Step 5: Solve for x
   x = 4,617,814,070.25/31,500
6. Step 6: Final answer
   x = 146,597.27