Finding the Third Proportional to 4,758.75 and 10,978.03

Step by Step Solution

1. Step 1: Write the proportion equation
   4,758.75 : 10,978.03 = 10,978.03 : x
2. Step 2: Convert to fraction form
   4,758.75/10,978.03 = 10,978.03/x
3. Step 3: Cross multiply
   4,758.75x = 10,978.03 × 10,978.03
4. Step 4: Simplify right side
   4,758.75x = 120,517,170.13
5. Step 5: Solve for x
   x = 120,517,170.13/4,758.75
6. Step 6: Final answer
   x = 25,325.38