Finding the Third Proportional to 22,546 and 32,478

Step by Step Solution

1. Step 1: Write the proportion equation
   22,546 : 32,478 = 32,478 : x
2. Step 2: Convert to fraction form
   22,546/32,478 = 32,478/x
3. Step 3: Cross multiply
   22,546x = 32,478 × 32,478
4. Step 4: Simplify right side
   22,546x = 1,054,820,484
5. Step 5: Solve for x
   x = 1,054,820,484/22,546
6. Step 6: Final answer
   x = 46,785.26