Finding the Third Proportional to 1,564.69 and 3,402.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.69 : 3,402.75 = 3,402.75 : x
2. Step 2: Convert to fraction form
   1,564.69/3,402.75 = 3,402.75/x
3. Step 3: Cross multiply
   1,564.69x = 3,402.75 × 3,402.75
4. Step 4: Simplify right side
   1,564.69x = 11,578,707.56
5. Step 5: Solve for x
   x = 11,578,707.56/1,564.69
6. Step 6: Final answer
   x = 7,400.01