Finding the Third Proportional to 2,133 and 4,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,133 : 4,072.50 = 4,072.50 : x
2. Step 2: Convert to fraction form
   2,133/4,072.50 = 4,072.50/x
3. Step 3: Cross multiply
   2,133x = 4,072.50 × 4,072.50
4. Step 4: Simplify right side
   2,133x = 16,585,256.25
5. Step 5: Solve for x
   x = 16,585,256.25/2,133
6. Step 6: Final answer
   x = 7,775.55