Finding the Third Proportional to 22,478 and 32,377

Step by Step Solution

1. Step 1: Write the proportion equation
   22,478 : 32,377 = 32,377 : x
2. Step 2: Convert to fraction form
   22,478/32,377 = 32,377/x
3. Step 3: Cross multiply
   22,478x = 32,377 × 32,377
4. Step 4: Simplify right side
   22,478x = 1,048,270,129
5. Step 5: Solve for x
   x = 1,048,270,129/22,478
6. Step 6: Final answer
   x = 46,635.38