Finding the Third Proportional to 1,061 and 1,592

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061 : 1,592 = 1,592 : x
2. Step 2: Convert to fraction form
   1,061/1,592 = 1,592/x
3. Step 3: Cross multiply
   1,061x = 1,592 × 1,592
4. Step 4: Simplify right side
   1,061x = 2,534,464
5. Step 5: Solve for x
   x = 2,534,464/1,061
6. Step 6: Final answer
   x = 2,388.75