Finding the Third Proportional to 1,659.23 and 2,411.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,659.23 : 2,411.02 = 2,411.02 : x
2. Step 2: Convert to fraction form
   1,659.23/2,411.02 = 2,411.02/x
3. Step 3: Cross multiply
   1,659.23x = 2,411.02 × 2,411.02
4. Step 4: Simplify right side
   1,659.23x = 5,812,996.34
5. Step 5: Solve for x
   x = 5,812,996.34/1,659.23
6. Step 6: Final answer
   x = 3,503.42