Finding the Third Proportional to 5,644.59 and 8,790.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.59 : 8,790.05 = 8,790.05 : x
2. Step 2: Convert to fraction form
   5,644.59/8,790.05 = 8,790.05/x
3. Step 3: Cross multiply
   5,644.59x = 8,790.05 × 8,790.05
4. Step 4: Simplify right side
   5,644.59x = 77,264,924.06
5. Step 5: Solve for x
   x = 77,264,924.06/5,644.59
6. Step 6: Final answer
   x = 13,688.31