Finding the Third Proportional to 11,469 and 17,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,469 : 17,527.50 = 17,527.50 : x
2. Step 2: Convert to fraction form
   11,469/17,527.50 = 17,527.50/x
3. Step 3: Cross multiply
   11,469x = 17,527.50 × 17,527.50
4. Step 4: Simplify right side
   11,469x = 307,213,256.25
5. Step 5: Solve for x
   x = 307,213,256.25/11,469
6. Step 6: Final answer
   x = 26,786.40