Finding the Third Proportional to 2,133 and 2,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,133 : 2,881.50 = 2,881.50 : x
2. Step 2: Convert to fraction form
   2,133/2,881.50 = 2,881.50/x
3. Step 3: Cross multiply
   2,133x = 2,881.50 × 2,881.50
4. Step 4: Simplify right side
   2,133x = 8,303,042.25
5. Step 5: Solve for x
   x = 8,303,042.25/2,133
6. Step 6: Final answer
   x = 3,892.66