Finding the Third Proportional to 31,196.25 and 67,647.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,196.25 : 67,647.75 = 67,647.75 : x
2. Step 2: Convert to fraction form
   31,196.25/67,647.75 = 67,647.75/x
3. Step 3: Cross multiply
   31,196.25x = 67,647.75 × 67,647.75
4. Step 4: Simplify right side
   31,196.25x = 4,576,218,080.06
5. Step 5: Solve for x
   x = 4,576,218,080.06/31,196.25
6. Step 6: Final answer
   x = 146,691.29