Finding the Third Proportional to 861.50 and 1,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   861.50 : 1,501.50 = 1,501.50 : x
2. Step 2: Convert to fraction form
   861.50/1,501.50 = 1,501.50/x
3. Step 3: Cross multiply
   861.50x = 1,501.50 × 1,501.50
4. Step 4: Simplify right side
   861.50x = 2,254,502.25
5. Step 5: Solve for x
   x = 2,254,502.25/861.50
6. Step 6: Final answer
   x = 2,616.95