Finding the Third Proportional to 5,077.69 and 10,783.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.69 : 10,783.13 = 10,783.13 : x
2. Step 2: Convert to fraction form
   5,077.69/10,783.13 = 10,783.13/x
3. Step 3: Cross multiply
   5,077.69x = 10,783.13 × 10,783.13
4. Step 4: Simplify right side
   5,077.69x = 116,275,784.77
5. Step 5: Solve for x
   x = 116,275,784.77/5,077.69
6. Step 6: Final answer
   x = 22,899.36