Finding the Third Proportional to 11,550 and 17,835

Step by Step Solution

1. Step 1: Write the proportion equation
   11,550 : 17,835 = 17,835 : x
2. Step 2: Convert to fraction form
   11,550/17,835 = 17,835/x
3. Step 3: Cross multiply
   11,550x = 17,835 × 17,835
4. Step 4: Simplify right side
   11,550x = 318,087,225
5. Step 5: Solve for x
   x = 318,087,225/11,550
6. Step 6: Final answer
   x = 27,540.02