Finding the Third Proportional to 1,196.02 and 2,536.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.02 : 2,536.95 = 2,536.95 : x
2. Step 2: Convert to fraction form
   1,196.02/2,536.95 = 2,536.95/x
3. Step 3: Cross multiply
   1,196.02x = 2,536.95 × 2,536.95
4. Step 4: Simplify right side
   1,196.02x = 6,436,091.52
5. Step 5: Solve for x
   x = 6,436,091.52/1,196.02
6. Step 6: Final answer
   x = 5,381.28