Finding the Third Proportional to 32,256 and 43,776

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 43,776 = 43,776 : x
2. Step 2: Convert to fraction form
   32,256/43,776 = 43,776/x
3. Step 3: Cross multiply
   32,256x = 43,776 × 43,776
4. Step 4: Simplify right side
   32,256x = 1,916,338,176
5. Step 5: Solve for x
   x = 1,916,338,176/32,256
6. Step 6: Final answer
   x = 59,410.29