Finding the Third Proportional to 17,826 and 27,599

Step by Step Solution

1. Step 1: Write the proportion equation
   17,826 : 27,599 = 27,599 : x
2. Step 2: Convert to fraction form
   17,826/27,599 = 27,599/x
3. Step 3: Cross multiply
   17,826x = 27,599 × 27,599
4. Step 4: Simplify right side
   17,826x = 761,704,801
5. Step 5: Solve for x
   x = 761,704,801/17,826
6. Step 6: Final answer
   x = 42,729.99