Finding the Third Proportional to 31,680.75 and 68,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680.75 : 68,041.50 = 68,041.50 : x
2. Step 2: Convert to fraction form
   31,680.75/68,041.50 = 68,041.50/x
3. Step 3: Cross multiply
   31,680.75x = 68,041.50 × 68,041.50
4. Step 4: Simplify right side
   31,680.75x = 4,629,645,722.25
5. Step 5: Solve for x
   x = 4,629,645,722.25/31,680.75
6. Step 6: Final answer
   x = 146,134.35