Finding the Third Proportional to 17,589.25 and 37,000.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,589.25 : 37,000.75 = 37,000.75 : x
2. Step 2: Convert to fraction form
   17,589.25/37,000.75 = 37,000.75/x
3. Step 3: Cross multiply
   17,589.25x = 37,000.75 × 37,000.75
4. Step 4: Simplify right side
   17,589.25x = 1,369,055,500.56
5. Step 5: Solve for x
   x = 1,369,055,500.56/17,589.25
6. Step 6: Final answer
   x = 77,834.79