Finding the Third Proportional to 5,664.94 and 8,588.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,664.94 : 8,588.53 = 8,588.53 : x
2. Step 2: Convert to fraction form
   5,664.94/8,588.53 = 8,588.53/x
3. Step 3: Cross multiply
   5,664.94x = 8,588.53 × 8,588.53
4. Step 4: Simplify right side
   5,664.94x = 73,762,869.03
5. Step 5: Solve for x
   x = 73,762,869.03/5,664.94
6. Step 6: Final answer
   x = 13,020.95