Finding the Third Proportional to 7,878.75 and 16,151.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,878.75 : 16,151.25 = 16,151.25 : x
2. Step 2: Convert to fraction form
   7,878.75/16,151.25 = 16,151.25/x
3. Step 3: Cross multiply
   7,878.75x = 16,151.25 × 16,151.25
4. Step 4: Simplify right side
   7,878.75x = 260,862,876.56
5. Step 5: Solve for x
   x = 260,862,876.56/7,878.75
6. Step 6: Final answer
   x = 33,109.68