Finding the Third Proportional to 31,839 and 67,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,839 : 67,162.50 = 67,162.50 : x
2. Step 2: Convert to fraction form
   31,839/67,162.50 = 67,162.50/x
3. Step 3: Cross multiply
   31,839x = 67,162.50 × 67,162.50
4. Step 4: Simplify right side
   31,839x = 4,510,801,406.25
5. Step 5: Solve for x
   x = 4,510,801,406.25/31,839
6. Step 6: Final answer
   x = 141,675.35