Finding the Third Proportional to 1,834.50 and 2,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,834.50 : 2,766.75 = 2,766.75 : x
2. Step 2: Convert to fraction form
   1,834.50/2,766.75 = 2,766.75/x
3. Step 3: Cross multiply
   1,834.50x = 2,766.75 × 2,766.75
4. Step 4: Simplify right side
   1,834.50x = 7,654,905.56
5. Step 5: Solve for x
   x = 7,654,905.56/1,834.50
6. Step 6: Final answer
   x = 4,172.75