Finding the Third Proportional to 22,565 and 33,078

Step by Step Solution

1. Step 1: Write the proportion equation
   22,565 : 33,078 = 33,078 : x
2. Step 2: Convert to fraction form
   22,565/33,078 = 33,078/x
3. Step 3: Cross multiply
   22,565x = 33,078 × 33,078
4. Step 4: Simplify right side
   22,565x = 1,094,154,084
5. Step 5: Solve for x
   x = 1,094,154,084/22,565
6. Step 6: Final answer
   x = 48,488.99