Finding the Third Proportional to 5,693.63 and 8,830.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,693.63 : 8,830.69 = 8,830.69 : x
2. Step 2: Convert to fraction form
   5,693.63/8,830.69 = 8,830.69/x
3. Step 3: Cross multiply
   5,693.63x = 8,830.69 × 8,830.69
4. Step 4: Simplify right side
   5,693.63x = 77,981,041.72
5. Step 5: Solve for x
   x = 77,981,041.72/5,693.63
6. Step 6: Final answer
   x = 13,696.20