Finding the Third Proportional to 17,980 and 27,596

Step by Step Solution

1. Step 1: Write the proportion equation
   17,980 : 27,596 = 27,596 : x
2. Step 2: Convert to fraction form
   17,980/27,596 = 27,596/x
3. Step 3: Cross multiply
   17,980x = 27,596 × 27,596
4. Step 4: Simplify right side
   17,980x = 761,539,216
5. Step 5: Solve for x
   x = 761,539,216/17,980
6. Step 6: Final answer
   x = 42,354.80