Finding the Third Proportional to 1,534.22 and 2,359.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.22 : 2,359.55 = 2,359.55 : x
2. Step 2: Convert to fraction form
   1,534.22/2,359.55 = 2,359.55/x
3. Step 3: Cross multiply
   1,534.22x = 2,359.55 × 2,359.55
4. Step 4: Simplify right side
   1,534.22x = 5,567,461.46
5. Step 5: Solve for x
   x = 5,567,461.46/1,534.22
6. Step 6: Final answer
   x = 3,628.86