Finding the Third Proportional to 31,992 and 69,807

Step by Step Solution

1. Step 1: Write the proportion equation
   31,992 : 69,807 = 69,807 : x
2. Step 2: Convert to fraction form
   31,992/69,807 = 69,807/x
3. Step 3: Cross multiply
   31,992x = 69,807 × 69,807
4. Step 4: Simplify right side
   31,992x = 4,873,017,249
5. Step 5: Solve for x
   x = 4,873,017,249/31,992
6. Step 6: Final answer
   x = 152,319.87