Finding the Third Proportional to 2,053.50 and 3,072

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.50 : 3,072 = 3,072 : x
2. Step 2: Convert to fraction form
   2,053.50/3,072 = 3,072/x
3. Step 3: Cross multiply
   2,053.50x = 3,072 × 3,072
4. Step 4: Simplify right side
   2,053.50x = 9,437,184
5. Step 5: Solve for x
   x = 9,437,184/2,053.50
6. Step 6: Final answer
   x = 4,595.66