Finding the Third Proportional to 4,188.94 and 5,558.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,188.94 : 5,558.63 = 5,558.63 : x
2. Step 2: Convert to fraction form
   4,188.94/5,558.63 = 5,558.63/x
3. Step 3: Cross multiply
   4,188.94x = 5,558.63 × 5,558.63
4. Step 4: Simplify right side
   4,188.94x = 30,898,311.89
5. Step 5: Solve for x
   x = 30,898,311.89/4,188.94
6. Step 6: Final answer
   x = 7,376.17