Finding the Third Proportional to 23,586 and 32,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,586 : 32,458.50 = 32,458.50 : x
2. Step 2: Convert to fraction form
   23,586/32,458.50 = 32,458.50/x
3. Step 3: Cross multiply
   23,586x = 32,458.50 × 32,458.50
4. Step 4: Simplify right side
   23,586x = 1,053,554,222.25
5. Step 5: Solve for x
   x = 1,053,554,222.25/23,586
6. Step 6: Final answer
   x = 44,668.63