Finding the Third Proportional to 11,535 and 15,146

Step by Step Solution

1. Step 1: Write the proportion equation
   11,535 : 15,146 = 15,146 : x
2. Step 2: Convert to fraction form
   11,535/15,146 = 15,146/x
3. Step 3: Cross multiply
   11,535x = 15,146 × 15,146
4. Step 4: Simplify right side
   11,535x = 229,401,316
5. Step 5: Solve for x
   x = 229,401,316/11,535
6. Step 6: Final answer
   x = 19,887.41