Finding the Third Proportional to 572.50 and 1,061

Step by Step Solution

1. Step 1: Write the proportion equation
   572.50 : 1,061 = 1,061 : x
2. Step 2: Convert to fraction form
   572.50/1,061 = 1,061/x
3. Step 3: Cross multiply
   572.50x = 1,061 × 1,061
4. Step 4: Simplify right side
   572.50x = 1,125,721
5. Step 5: Solve for x
   x = 1,125,721/572.50
6. Step 6: Final answer
   x = 1,966.32