Finding the Third Proportional to 1,155.75 and 2,492.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.75 : 2,492.63 = 2,492.63 : x
2. Step 2: Convert to fraction form
   1,155.75/2,492.63 = 2,492.63/x
3. Step 3: Cross multiply
   1,155.75x = 2,492.63 × 2,492.63
4. Step 4: Simplify right side
   1,155.75x = 6,213,179.39
5. Step 5: Solve for x
   x = 6,213,179.39/1,155.75
6. Step 6: Final answer
   x = 5,375.89