Finding the Third Proportional to 17,762 and 27,597

Step by Step Solution

1. Step 1: Write the proportion equation
   17,762 : 27,597 = 27,597 : x
2. Step 2: Convert to fraction form
   17,762/27,597 = 27,597/x
3. Step 3: Cross multiply
   17,762x = 27,597 × 27,597
4. Step 4: Simplify right side
   17,762x = 761,594,409
5. Step 5: Solve for x
   x = 761,594,409/17,762
6. Step 6: Final answer
   x = 42,877.74