Finding the Third Proportional to 37,509 and 88,542

Step by Step Solution

1. Step 1: Write the proportion equation
   37,509 : 88,542 = 88,542 : x
2. Step 2: Convert to fraction form
   37,509/88,542 = 88,542/x
3. Step 3: Cross multiply
   37,509x = 88,542 × 88,542
4. Step 4: Simplify right side
   37,509x = 7,839,685,764
5. Step 5: Solve for x
   x = 7,839,685,764/37,509
6. Step 6: Final answer
   x = 209,008.13