Finding the Third Proportional to 2,041.50 and 2,316

Step by Step Solution

1. Step 1: Write the proportion equation
   2,041.50 : 2,316 = 2,316 : x
2. Step 2: Convert to fraction form
   2,041.50/2,316 = 2,316/x
3. Step 3: Cross multiply
   2,041.50x = 2,316 × 2,316
4. Step 4: Simplify right side
   2,041.50x = 5,363,856
5. Step 5: Solve for x
   x = 5,363,856/2,041.50
6. Step 6: Final answer
   x = 2,627.41