Finding the Third Proportional to 31,756.50 and 68,298.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,756.50 : 68,298.75 = 68,298.75 : x
2. Step 2: Convert to fraction form
   31,756.50/68,298.75 = 68,298.75/x
3. Step 3: Cross multiply
   31,756.50x = 68,298.75 × 68,298.75
4. Step 4: Simplify right side
   31,756.50x = 4,664,719,251.56
5. Step 5: Solve for x
   x = 4,664,719,251.56/31,756.50
6. Step 6: Final answer
   x = 146,890.22