Finding the Third Proportional to 38,448 and 56,778

Step by Step Solution

1. Step 1: Write the proportion equation
   38,448 : 56,778 = 56,778 : x
2. Step 2: Convert to fraction form
   38,448/56,778 = 56,778/x
3. Step 3: Cross multiply
   38,448x = 56,778 × 56,778
4. Step 4: Simplify right side
   38,448x = 3,223,741,284
5. Step 5: Solve for x
   x = 3,223,741,284/38,448
6. Step 6: Final answer
   x = 83,846.79