Finding the Third Proportional to 1,011 and 1,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011 : 1,513.50 = 1,513.50 : x
2. Step 2: Convert to fraction form
   1,011/1,513.50 = 1,513.50/x
3. Step 3: Cross multiply
   1,011x = 1,513.50 × 1,513.50
4. Step 4: Simplify right side
   1,011x = 2,290,682.25
5. Step 5: Solve for x
   x = 2,290,682.25/1,011
6. Step 6: Final answer
   x = 2,265.76