Finding the Third Proportional to 1,188.50 and 2,377

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.50 : 2,377 = 2,377 : x
2. Step 2: Convert to fraction form
   1,188.50/2,377 = 2,377/x
3. Step 3: Cross multiply
   1,188.50x = 2,377 × 2,377
4. Step 4: Simplify right side
   1,188.50x = 5,650,129
5. Step 5: Solve for x
   x = 5,650,129/1,188.50
6. Step 6: Final answer
   x = 4,754