Finding the Third Proportional to 1,498.50 and 2,242.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.50 : 2,242.05 = 2,242.05 : x
2. Step 2: Convert to fraction form
   1,498.50/2,242.05 = 2,242.05/x
3. Step 3: Cross multiply
   1,498.50x = 2,242.05 × 2,242.05
4. Step 4: Simplify right side
   1,498.50x = 5,026,809.22
5. Step 5: Solve for x
   x = 5,026,809.22/1,498.50
6. Step 6: Final answer
   x = 3,354.56