Finding the Third Proportional to 33,787.50 and 53,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,787.50 : 53,002.50 = 53,002.50 : x
2. Step 2: Convert to fraction form
   33,787.50/53,002.50 = 53,002.50/x
3. Step 3: Cross multiply
   33,787.50x = 53,002.50 × 53,002.50
4. Step 4: Simplify right side
   33,787.50x = 2,809,265,006.25
5. Step 5: Solve for x
   x = 2,809,265,006.25/33,787.50
6. Step 6: Final answer
   x = 83,145.10