Finding the Third Proportional to 25,893 and 32,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,893 : 32,440.50 = 32,440.50 : x
2. Step 2: Convert to fraction form
   25,893/32,440.50 = 32,440.50/x
3. Step 3: Cross multiply
   25,893x = 32,440.50 × 32,440.50
4. Step 4: Simplify right side
   25,893x = 1,052,386,040.25
5. Step 5: Solve for x
   x = 1,052,386,040.25/25,893
6. Step 6: Final answer
   x = 40,643.65