Finding the Third Proportional to 17,810 and 27,564

Step by Step Solution

1. Step 1: Write the proportion equation
   17,810 : 27,564 = 27,564 : x
2. Step 2: Convert to fraction form
   17,810/27,564 = 27,564/x
3. Step 3: Cross multiply
   17,810x = 27,564 × 27,564
4. Step 4: Simplify right side
   17,810x = 759,774,096
5. Step 5: Solve for x
   x = 759,774,096/17,810
6. Step 6: Final answer
   x = 42,659.97