Finding the Third Proportional to 1,362 and 2,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362 : 2,155.50 = 2,155.50 : x
2. Step 2: Convert to fraction form
   1,362/2,155.50 = 2,155.50/x
3. Step 3: Cross multiply
   1,362x = 2,155.50 × 2,155.50
4. Step 4: Simplify right side
   1,362x = 4,646,180.25
5. Step 5: Solve for x
   x = 4,646,180.25/1,362
6. Step 6: Final answer
   x = 3,411.29