Finding the Third Proportional to 1,564.59 and 2,342.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.59 : 2,342.02 = 2,342.02 : x
2. Step 2: Convert to fraction form
   1,564.59/2,342.02 = 2,342.02/x
3. Step 3: Cross multiply
   1,564.59x = 2,342.02 × 2,342.02
4. Step 4: Simplify right side
   1,564.59x = 5,485,037.19
5. Step 5: Solve for x
   x = 5,485,037.19/1,564.59
6. Step 6: Final answer
   x = 3,505.73