Finding the Third Proportional to 1,019.53 and 1,569.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.53 : 1,569.80 = 1,569.80 : x
2. Step 2: Convert to fraction form
   1,019.53/1,569.80 = 1,569.80/x
3. Step 3: Cross multiply
   1,019.53x = 1,569.80 × 1,569.80
4. Step 4: Simplify right side
   1,019.53x = 2,464,262.23
5. Step 5: Solve for x
   x = 2,464,262.23/1,019.53
6. Step 6: Final answer
   x = 2,417.05