Finding the Third Proportional to 31,746 and 68,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746 : 68,278.50 = 68,278.50 : x
2. Step 2: Convert to fraction form
   31,746/68,278.50 = 68,278.50/x
3. Step 3: Cross multiply
   31,746x = 68,278.50 × 68,278.50
4. Step 4: Simplify right side
   31,746x = 4,661,953,562.25
5. Step 5: Solve for x
   x = 4,661,953,562.25/31,746
6. Step 6: Final answer
   x = 146,851.68