Finding the Third Proportional to 17,580 and 27,636

Step by Step Solution

1. Step 1: Write the proportion equation
   17,580 : 27,636 = 27,636 : x
2. Step 2: Convert to fraction form
   17,580/27,636 = 27,636/x
3. Step 3: Cross multiply
   17,580x = 27,636 × 27,636
4. Step 4: Simplify right side
   17,580x = 763,748,496
5. Step 5: Solve for x
   x = 763,748,496/17,580
6. Step 6: Final answer
   x = 43,444.17