Finding the Third Proportional to 33,107.50 and 42,509.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,107.50 : 42,509.63 = 42,509.63 : x
2. Step 2: Convert to fraction form
   33,107.50/42,509.63 = 42,509.63/x
3. Step 3: Cross multiply
   33,107.50x = 42,509.63 × 42,509.63
4. Step 4: Simplify right side
   33,107.50x = 1,807,068,217.64
5. Step 5: Solve for x
   x = 1,807,068,217.64/33,107.50
6. Step 6: Final answer
   x = 54,581.84