Finding the Third Proportional to 1,542.23 and 2,198.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.23 : 2,198.00 = 2,198.00 : x
2. Step 2: Convert to fraction form
   1,542.23/2,198.00 = 2,198.00/x
3. Step 3: Cross multiply
   1,542.23x = 2,198.00 × 2,198.00
4. Step 4: Simplify right side
   1,542.23x = 4,831,221.17
5. Step 5: Solve for x
   x = 4,831,221.17/1,542.23
6. Step 6: Final answer
   x = 3,132.61