Finding the Third Proportional to 25,920 and 38,333.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 38,333.25 = 38,333.25 : x
2. Step 2: Convert to fraction form
   25,920/38,333.25 = 38,333.25/x
3. Step 3: Cross multiply
   25,920x = 38,333.25 × 38,333.25
4. Step 4: Simplify right side
   25,920x = 1,469,438,055.56
5. Step 5: Solve for x
   x = 1,469,438,055.56/25,920
6. Step 6: Final answer
   x = 56,691.28