Finding the Third Proportional to 1,188.38 and 2,558.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.38 : 2,558.63 = 2,558.63 : x
2. Step 2: Convert to fraction form
   1,188.38/2,558.63 = 2,558.63/x
3. Step 3: Cross multiply
   1,188.38x = 2,558.63 × 2,558.63
4. Step 4: Simplify right side
   1,188.38x = 6,546,561.89
5. Step 5: Solve for x
   x = 6,546,561.89/1,188.38
6. Step 6: Final answer
   x = 5,508.84