Finding the Third Proportional to 2,009.81 and 2,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.81 : 2,875.50 = 2,875.50 : x
2. Step 2: Convert to fraction form
   2,009.81/2,875.50 = 2,875.50/x
3. Step 3: Cross multiply
   2,009.81x = 2,875.50 × 2,875.50
4. Step 4: Simplify right side
   2,009.81x = 8,268,500.25
5. Step 5: Solve for x
   x = 8,268,500.25/2,009.81
6. Step 6: Final answer
   x = 4,114.07