Finding the Third Proportional to 32,256 and 48,870

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 48,870 = 48,870 : x
2. Step 2: Convert to fraction form
   32,256/48,870 = 48,870/x
3. Step 3: Cross multiply
   32,256x = 48,870 × 48,870
4. Step 4: Simplify right side
   32,256x = 2,388,276,900
5. Step 5: Solve for x
   x = 2,388,276,900/32,256
6. Step 6: Final answer
   x = 74,041.32