Finding the Third Proportional to 1,188.75 and 2,650.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.75 : 2,650.69 = 2,650.69 : x
2. Step 2: Convert to fraction form
   1,188.75/2,650.69 = 2,650.69/x
3. Step 3: Cross multiply
   1,188.75x = 2,650.69 × 2,650.69
4. Step 4: Simplify right side
   1,188.75x = 7,026,144.22
5. Step 5: Solve for x
   x = 7,026,144.22/1,188.75
6. Step 6: Final answer
   x = 5,910.53