Finding the Third Proportional to 1,192.25 and 2,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.25 : 2,465.50 = 2,465.50 : x
2. Step 2: Convert to fraction form
   1,192.25/2,465.50 = 2,465.50/x
3. Step 3: Cross multiply
   1,192.25x = 2,465.50 × 2,465.50
4. Step 4: Simplify right side
   1,192.25x = 6,078,690.25
5. Step 5: Solve for x
   x = 6,078,690.25/1,192.25
6. Step 6: Final answer
   x = 5,098.50