Finding the Third Proportional to 1,564.88 and 2,343.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.88 : 2,343.09 = 2,343.09 : x
2. Step 2: Convert to fraction form
   1,564.88/2,343.09 = 2,343.09/x
3. Step 3: Cross multiply
   1,564.88x = 2,343.09 × 2,343.09
4. Step 4: Simplify right side
   1,564.88x = 5,490,088.32
5. Step 5: Solve for x
   x = 5,490,088.32/1,564.88
6. Step 6: Final answer
   x = 3,508.32