Finding the Third Proportional to 31,655 and 67,546.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,655 : 67,546.75 = 67,546.75 : x
2. Step 2: Convert to fraction form
   31,655/67,546.75 = 67,546.75/x
3. Step 3: Cross multiply
   31,655x = 67,546.75 × 67,546.75
4. Step 4: Simplify right side
   31,655x = 4,562,563,435.56
5. Step 5: Solve for x
   x = 4,562,563,435.56/31,655
6. Step 6: Final answer
   x = 144,134.05