Finding the Third Proportional to 1,522.13 and 2,354.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.13 : 2,354.06 = 2,354.06 : x
2. Step 2: Convert to fraction form
   1,522.13/2,354.06 = 2,354.06/x
3. Step 3: Cross multiply
   1,522.13x = 2,354.06 × 2,354.06
4. Step 4: Simplify right side
   1,522.13x = 5,541,610.25
5. Step 5: Solve for x
   x = 5,541,610.25/1,522.13
6. Step 6: Final answer
   x = 3,640.71