Finding the Third Proportional to 810 and 2,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   810 : 2,164.50 = 2,164.50 : x
2. Step 2: Convert to fraction form
   810/2,164.50 = 2,164.50/x
3. Step 3: Cross multiply
   810x = 2,164.50 × 2,164.50
4. Step 4: Simplify right side
   810x = 4,685,060.25
5. Step 5: Solve for x
   x = 4,685,060.25/810
6. Step 6: Final answer
   x = 5,784.03