Finding the Third Proportional to 14,822 and 31,692

Step by Step Solution

1. Step 1: Write the proportion equation
   14,822 : 31,692 = 31,692 : x
2. Step 2: Convert to fraction form
   14,822/31,692 = 31,692/x
3. Step 3: Cross multiply
   14,822x = 31,692 × 31,692
4. Step 4: Simplify right side
   14,822x = 1,004,382,864
5. Step 5: Solve for x
   x = 1,004,382,864/14,822
6. Step 6: Final answer
   x = 67,762.98