Finding the Third Proportional to 31,829.63 and 67,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,829.63 : 67,144.50 = 67,144.50 : x
2. Step 2: Convert to fraction form
   31,829.63/67,144.50 = 67,144.50/x
3. Step 3: Cross multiply
   31,829.63x = 67,144.50 × 67,144.50
4. Step 4: Simplify right side
   31,829.63x = 4,508,383,880.25
5. Step 5: Solve for x
   x = 4,508,383,880.25/31,829.63
6. Step 6: Final answer
   x = 141,641.12