Finding the Third Proportional to 31,838 and 68,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,838 : 68,374.50 = 68,374.50 : x
2. Step 2: Convert to fraction form
   31,838/68,374.50 = 68,374.50/x
3. Step 3: Cross multiply
   31,838x = 68,374.50 × 68,374.50
4. Step 4: Simplify right side
   31,838x = 4,675,072,250.25
5. Step 5: Solve for x
   x = 4,675,072,250.25/31,838
6. Step 6: Final answer
   x = 146,839.38