Finding the Third Proportional to 17,664 and 27,312

Step by Step Solution

1. Step 1: Write the proportion equation
   17,664 : 27,312 = 27,312 : x
2. Step 2: Convert to fraction form
   17,664/27,312 = 27,312/x
3. Step 3: Cross multiply
   17,664x = 27,312 × 27,312
4. Step 4: Simplify right side
   17,664x = 745,945,344
5. Step 5: Solve for x
   x = 745,945,344/17,664
6. Step 6: Final answer
   x = 42,229.70