Finding the Third Proportional to 31,848 and 69,234

Step by Step Solution

1. Step 1: Write the proportion equation
   31,848 : 69,234 = 69,234 : x
2. Step 2: Convert to fraction form
   31,848/69,234 = 69,234/x
3. Step 3: Cross multiply
   31,848x = 69,234 × 69,234
4. Step 4: Simplify right side
   31,848x = 4,793,346,756
5. Step 5: Solve for x
   x = 4,793,346,756/31,848
6. Step 6: Final answer
   x = 150,506.99