Finding the Third Proportional to 1,534.50 and 3,328.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.50 : 3,328.31 = 3,328.31 : x
2. Step 2: Convert to fraction form
   1,534.50/3,328.31 = 3,328.31/x
3. Step 3: Cross multiply
   1,534.50x = 3,328.31 × 3,328.31
4. Step 4: Simplify right side
   1,534.50x = 11,077,664.10
5. Step 5: Solve for x
   x = 11,077,664.10/1,534.50
6. Step 6: Final answer
   x = 7,219.07