Finding the Third Proportional to 11,623.50 and 17,830.13

Step by Step Solution

1. Step 1: Write the proportion equation
   11,623.50 : 17,830.13 = 17,830.13 : x
2. Step 2: Convert to fraction form
   11,623.50/17,830.13 = 17,830.13/x
3. Step 3: Cross multiply
   11,623.50x = 17,830.13 × 17,830.13
4. Step 4: Simplify right side
   11,623.50x = 317,913,357.52
5. Step 5: Solve for x
   x = 317,913,357.52/11,623.50
6. Step 6: Final answer
   x = 27,350.91