Finding the Third Proportional to 11,774 and 16,501.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,774 : 16,501.25 = 16,501.25 : x
2. Step 2: Convert to fraction form
   11,774/16,501.25 = 16,501.25/x
3. Step 3: Cross multiply
   11,774x = 16,501.25 × 16,501.25
4. Step 4: Simplify right side
   11,774x = 272,291,251.56
5. Step 5: Solve for x
   x = 272,291,251.56/11,774
6. Step 6: Final answer
   x = 23,126.49