Finding the Third Proportional to 2,033 and 3,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,033 : 3,101.50 = 3,101.50 : x
2. Step 2: Convert to fraction form
   2,033/3,101.50 = 3,101.50/x
3. Step 3: Cross multiply
   2,033x = 3,101.50 × 3,101.50
4. Step 4: Simplify right side
   2,033x = 9,619,302.25
5. Step 5: Solve for x
   x = 9,619,302.25/2,033
6. Step 6: Final answer
   x = 4,731.58