Finding the Third Proportional to 17,564 and 23,662

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564 : 23,662 = 23,662 : x
2. Step 2: Convert to fraction form
   17,564/23,662 = 23,662/x
3. Step 3: Cross multiply
   17,564x = 23,662 × 23,662
4. Step 4: Simplify right side
   17,564x = 559,890,244
5. Step 5: Solve for x
   x = 559,890,244/17,564
6. Step 6: Final answer
   x = 31,877.15