Finding the Third Proportional to 7,585.88 and 16,498.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,585.88 : 16,498.13 = 16,498.13 : x
2. Step 2: Convert to fraction form
   7,585.88/16,498.13 = 16,498.13/x
3. Step 3: Cross multiply
   7,585.88x = 16,498.13 × 16,498.13
4. Step 4: Simplify right side
   7,585.88x = 272,188,128.52
5. Step 5: Solve for x
   x = 272,188,128.52/7,585.88
6. Step 6: Final answer
   x = 35,880.91