Finding the Third Proportional to 11,566 and 17,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566 : 17,428.50 = 17,428.50 : x
2. Step 2: Convert to fraction form
   11,566/17,428.50 = 17,428.50/x
3. Step 3: Cross multiply
   11,566x = 17,428.50 × 17,428.50
4. Step 4: Simplify right side
   11,566x = 303,752,612.25
5. Step 5: Solve for x
   x = 303,752,612.25/11,566
6. Step 6: Final answer
   x = 26,262.55