Finding the Third Proportional to 31,839 and 68,376.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,839 : 68,376.50 = 68,376.50 : x
2. Step 2: Convert to fraction form
   31,839/68,376.50 = 68,376.50/x
3. Step 3: Cross multiply
   31,839x = 68,376.50 × 68,376.50
4. Step 4: Simplify right side
   31,839x = 4,675,345,752.25
5. Step 5: Solve for x
   x = 4,675,345,752.25/31,839
6. Step 6: Final answer
   x = 146,843.36