Finding the Third Proportional to 14,462.25 and 31,692

Step by Step Solution

1. Step 1: Write the proportion equation
   14,462.25 : 31,692 = 31,692 : x
2. Step 2: Convert to fraction form
   14,462.25/31,692 = 31,692/x
3. Step 3: Cross multiply
   14,462.25x = 31,692 × 31,692
4. Step 4: Simplify right side
   14,462.25x = 1,004,382,864
5. Step 5: Solve for x
   x = 1,004,382,864/14,462.25
6. Step 6: Final answer
   x = 69,448.59