Finding the Third Proportional to 561.50 and 1,298

Step by Step Solution

1. Step 1: Write the proportion equation
   561.50 : 1,298 = 1,298 : x
2. Step 2: Convert to fraction form
   561.50/1,298 = 1,298/x
3. Step 3: Cross multiply
   561.50x = 1,298 × 1,298
4. Step 4: Simplify right side
   561.50x = 1,684,804
5. Step 5: Solve for x
   x = 1,684,804/561.50
6. Step 6: Final answer
   x = 3,000.54