Finding the Third Proportional to 1,569.38 and 2,381.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.38 : 2,381.06 = 2,381.06 : x
2. Step 2: Convert to fraction form
   1,569.38/2,381.06 = 2,381.06/x
3. Step 3: Cross multiply
   1,569.38x = 2,381.06 × 2,381.06
4. Step 4: Simplify right side
   1,569.38x = 5,669,458.63
5. Step 5: Solve for x
   x = 5,669,458.63/1,569.38
6. Step 6: Final answer
   x = 3,612.56