Finding the Third Proportional to 31,741.88 and 67,857.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,741.88 : 67,857.75 = 67,857.75 : x
2. Step 2: Convert to fraction form
   31,741.88/67,857.75 = 67,857.75/x
3. Step 3: Cross multiply
   31,741.88x = 67,857.75 × 67,857.75
4. Step 4: Simplify right side
   31,741.88x = 4,604,674,235.06
5. Step 5: Solve for x
   x = 4,604,674,235.06/31,741.88
6. Step 6: Final answer
   x = 145,066.23