Finding the Third Proportional to 14,564.81 and 31,510.69

Step by Step Solution

1. Step 1: Write the proportion equation
   14,564.81 : 31,510.69 = 31,510.69 : x
2. Step 2: Convert to fraction form
   14,564.81/31,510.69 = 31,510.69/x
3. Step 3: Cross multiply
   14,564.81x = 31,510.69 × 31,510.69
4. Step 4: Simplify right side
   14,564.81x = 992,923,426.72
5. Step 5: Solve for x
   x = 992,923,426.72/14,564.81
6. Step 6: Final answer
   x = 68,172.76