Finding the Third Proportional to 1,215 and 1,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215 : 1,834.50 = 1,834.50 : x
2. Step 2: Convert to fraction form
   1,215/1,834.50 = 1,834.50/x
3. Step 3: Cross multiply
   1,215x = 1,834.50 × 1,834.50
4. Step 4: Simplify right side
   1,215x = 3,365,390.25
5. Step 5: Solve for x
   x = 3,365,390.25/1,215
6. Step 6: Final answer
   x = 2,769.87