Finding the Third Proportional to 33,870 and 52,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,870 : 52,744.50 = 52,744.50 : x
2. Step 2: Convert to fraction form
   33,870/52,744.50 = 52,744.50/x
3. Step 3: Cross multiply
   33,870x = 52,744.50 × 52,744.50
4. Step 4: Simplify right side
   33,870x = 2,781,982,280.25
5. Step 5: Solve for x
   x = 2,781,982,280.25/33,870
6. Step 6: Final answer
   x = 82,137.06