Finding the Third Proportional to 4,654.76 and 10,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,654.76 : 10,978.88 = 10,978.88 : x
2. Step 2: Convert to fraction form
   4,654.76/10,978.88 = 10,978.88/x
3. Step 3: Cross multiply
   4,654.76x = 10,978.88 × 10,978.88
4. Step 4: Simplify right side
   4,654.76x = 120,535,696.27
5. Step 5: Solve for x
   x = 120,535,696.27/4,654.76
6. Step 6: Final answer
   x = 25,895.16