Finding the Third Proportional to 1,191.50 and 2,656

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.50 : 2,656 = 2,656 : x
2. Step 2: Convert to fraction form
   1,191.50/2,656 = 2,656/x
3. Step 3: Cross multiply
   1,191.50x = 2,656 × 2,656
4. Step 4: Simplify right side
   1,191.50x = 7,054,336
5. Step 5: Solve for x
   x = 7,054,336/1,191.50
6. Step 6: Final answer
   x = 5,920.55