Finding the Third Proportional to 14,640.75 and 31,931.72

Step by Step Solution

1. Step 1: Write the proportion equation
   14,640.75 : 31,931.72 = 31,931.72 : x
2. Step 2: Convert to fraction form
   14,640.75/31,931.72 = 31,931.72/x
3. Step 3: Cross multiply
   14,640.75x = 31,931.72 × 31,931.72
4. Step 4: Simplify right side
   14,640.75x = 1,019,634,662.33
5. Step 5: Solve for x
   x = 1,019,634,662.33/14,640.75
6. Step 6: Final answer
   x = 69,643.61