Finding the Third Proportional to 1,513.50 and 2,034

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.50 : 2,034 = 2,034 : x
2. Step 2: Convert to fraction form
   1,513.50/2,034 = 2,034/x
3. Step 3: Cross multiply
   1,513.50x = 2,034 × 2,034
4. Step 4: Simplify right side
   1,513.50x = 4,137,156
5. Step 5: Solve for x
   x = 4,137,156/1,513.50
6. Step 6: Final answer
   x = 2,733.50