Finding the Third Proportional to 1,164.22 and 1,569.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.22 : 1,569.06 = 1,569.06 : x
2. Step 2: Convert to fraction form
   1,164.22/1,569.06 = 1,569.06/x
3. Step 3: Cross multiply
   1,164.22x = 1,569.06 × 1,569.06
4. Step 4: Simplify right side
   1,164.22x = 2,461,944.87
5. Step 5: Solve for x
   x = 2,461,944.87/1,164.22
6. Step 6: Final answer
   x = 2,114.68