Finding the Third Proportional to 31,299 and 65,187

Step by Step Solution

1. Step 1: Write the proportion equation
   31,299 : 65,187 = 65,187 : x
2. Step 2: Convert to fraction form
   31,299/65,187 = 65,187/x
3. Step 3: Cross multiply
   31,299x = 65,187 × 65,187
4. Step 4: Simplify right side
   31,299x = 4,249,344,969
5. Step 5: Solve for x
   x = 4,249,344,969/31,299
6. Step 6: Final answer
   x = 135,766.16