Finding the Third Proportional to 1,525.50 and 3,116.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.50 : 3,116.81 = 3,116.81 : x
2. Step 2: Convert to fraction form
   1,525.50/3,116.81 = 3,116.81/x
3. Step 3: Cross multiply
   1,525.50x = 3,116.81 × 3,116.81
4. Step 4: Simplify right side
   1,525.50x = 9,714,520.16
5. Step 5: Solve for x
   x = 9,714,520.16/1,525.50
6. Step 6: Final answer
   x = 6,368.09