Finding the Third Proportional to 33,744 and 52,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,744 : 52,384.50 = 52,384.50 : x
2. Step 2: Convert to fraction form
   33,744/52,384.50 = 52,384.50/x
3. Step 3: Cross multiply
   33,744x = 52,384.50 × 52,384.50
4. Step 4: Simplify right side
   33,744x = 2,744,135,840.25
5. Step 5: Solve for x
   x = 2,744,135,840.25/33,744
6. Step 6: Final answer
   x = 81,322.19