Finding the Third Proportional to 31,819 and 69,118

Step by Step Solution

1. Step 1: Write the proportion equation
   31,819 : 69,118 = 69,118 : x
2. Step 2: Convert to fraction form
   31,819/69,118 = 69,118/x
3. Step 3: Cross multiply
   31,819x = 69,118 × 69,118
4. Step 4: Simplify right side
   31,819x = 4,777,297,924
5. Step 5: Solve for x
   x = 4,777,297,924/31,819
6. Step 6: Final answer
   x = 150,139.79