Finding the Third Proportional to 24,184.69 and 36,642.16

Step by Step Solution

1. Step 1: Write the proportion equation
   24,184.69 : 36,642.16 = 36,642.16 : x
2. Step 2: Convert to fraction form
   24,184.69/36,642.16 = 36,642.16/x
3. Step 3: Cross multiply
   24,184.69x = 36,642.16 × 36,642.16
4. Step 4: Simplify right side
   24,184.69x = 1,342,648,187.18
5. Step 5: Solve for x
   x = 1,342,648,187.18/24,184.69
6. Step 6: Final answer
   x = 55,516.46