Finding the Third Proportional to 31,193.50 and 67,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,193.50 : 67,641.75 = 67,641.75 : x
2. Step 2: Convert to fraction form
   31,193.50/67,641.75 = 67,641.75/x
3. Step 3: Cross multiply
   31,193.50x = 67,641.75 × 67,641.75
4. Step 4: Simplify right side
   31,193.50x = 4,575,406,343.06
5. Step 5: Solve for x
   x = 4,575,406,343.06/31,193.50
6. Step 6: Final answer
   x = 146,678.20