Finding the Third Proportional to 9,574.88 and 14,564.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,574.88 : 14,564.81 = 14,564.81 : x
2. Step 2: Convert to fraction form
   9,574.88/14,564.81 = 14,564.81/x
3. Step 3: Cross multiply
   9,574.88x = 14,564.81 × 14,564.81
4. Step 4: Simplify right side
   9,574.88x = 212,133,763.16
5. Step 5: Solve for x
   x = 212,133,763.16/9,574.88
6. Step 6: Final answer
   x = 22,155.25