Finding the Third Proportional to 15,876 and 32,478

Step by Step Solution

1. Step 1: Write the proportion equation
   15,876 : 32,478 = 32,478 : x
2. Step 2: Convert to fraction form
   15,876/32,478 = 32,478/x
3. Step 3: Cross multiply
   15,876x = 32,478 × 32,478
4. Step 4: Simplify right side
   15,876x = 1,054,820,484
5. Step 5: Solve for x
   x = 1,054,820,484/15,876
6. Step 6: Final answer
   x = 66,441.20