Finding the Third Proportional to 33,643.50 and 52,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,643.50 : 52,780.50 = 52,780.50 : x
2. Step 2: Convert to fraction form
   33,643.50/52,780.50 = 52,780.50/x
3. Step 3: Cross multiply
   33,643.50x = 52,780.50 × 52,780.50
4. Step 4: Simplify right side
   33,643.50x = 2,785,781,180.25
5. Step 5: Solve for x
   x = 2,785,781,180.25/33,643.50
6. Step 6: Final answer
   x = 82,802.95