Finding the Third Proportional to 1,534.50 and 2,251.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.50 : 2,251.69 = 2,251.69 : x
2. Step 2: Convert to fraction form
   1,534.50/2,251.69 = 2,251.69/x
3. Step 3: Cross multiply
   1,534.50x = 2,251.69 × 2,251.69
4. Step 4: Simplify right side
   1,534.50x = 5,070,096.60
5. Step 5: Solve for x
   x = 5,070,096.60/1,534.50
6. Step 6: Final answer
   x = 3,304.07