Finding the Third Proportional to 4,842.28 and 10,780.59

Step by Step Solution

1. Step 1: Write the proportion equation
   4,842.28 : 10,780.59 = 10,780.59 : x
2. Step 2: Convert to fraction form
   4,842.28/10,780.59 = 10,780.59/x
3. Step 3: Cross multiply
   4,842.28x = 10,780.59 × 10,780.59
4. Step 4: Simplify right side
   4,842.28x = 116,221,201.60
5. Step 5: Solve for x
   x = 116,221,201.60/4,842.28
6. Step 6: Final answer
   x = 24,001.33