Finding the Third Proportional to 5,005.13 and 10,774.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,005.13 : 10,774.69 = 10,774.69 : x
2. Step 2: Convert to fraction form
   5,005.13/10,774.69 = 10,774.69/x
3. Step 3: Cross multiply
   5,005.13x = 10,774.69 × 10,774.69
4. Step 4: Simplify right side
   5,005.13x = 116,093,890.72
5. Step 5: Solve for x
   x = 116,093,890.72/5,005.13
6. Step 6: Final answer
   x = 23,195.00