Finding the Third Proportional to 17,748 and 27,585

Step by Step Solution

1. Step 1: Write the proportion equation
   17,748 : 27,585 = 27,585 : x
2. Step 2: Convert to fraction form
   17,748/27,585 = 27,585/x
3. Step 3: Cross multiply
   17,748x = 27,585 × 27,585
4. Step 4: Simplify right side
   17,748x = 760,932,225
5. Step 5: Solve for x
   x = 760,932,225/17,748
6. Step 6: Final answer
   x = 42,874.25