Finding the Third Proportional to 5,784.75 and 8,992.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.75 : 8,992.69 = 8,992.69 : x
2. Step 2: Convert to fraction form
   5,784.75/8,992.69 = 8,992.69/x
3. Step 3: Cross multiply
   5,784.75x = 8,992.69 × 8,992.69
4. Step 4: Simplify right side
   5,784.75x = 80,868,428.47
5. Step 5: Solve for x
   x = 80,868,428.47/5,784.75
6. Step 6: Final answer
   x = 13,979.59