Finding the Third Proportional to 7,574.77 and 15,525.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,574.77 : 15,525.42 = 15,525.42 : x
2. Step 2: Convert to fraction form
   7,574.77/15,525.42 = 15,525.42/x
3. Step 3: Cross multiply
   7,574.77x = 15,525.42 × 15,525.42
4. Step 4: Simplify right side
   7,574.77x = 241,038,724.40
5. Step 5: Solve for x
   x = 241,038,724.40/7,574.77
6. Step 6: Final answer
   x = 31,821.28