Finding the Third Proportional to 10,564 and 17,600

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 17,600 = 17,600 : x
2. Step 2: Convert to fraction form
   10,564/17,600 = 17,600/x
3. Step 3: Cross multiply
   10,564x = 17,600 × 17,600
4. Step 4: Simplify right side
   10,564x = 309,760,000
5. Step 5: Solve for x
   x = 309,760,000/10,564
6. Step 6: Final answer
   x = 29,322.23