Finding the Third Proportional to 846 and 2,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   846 : 2,209.50 = 2,209.50 : x
2. Step 2: Convert to fraction form
   846/2,209.50 = 2,209.50/x
3. Step 3: Cross multiply
   846x = 2,209.50 × 2,209.50
4. Step 4: Simplify right side
   846x = 4,881,890.25
5. Step 5: Solve for x
   x = 4,881,890.25/846
6. Step 6: Final answer
   x = 5,770.56