Finding the Third Proportional to 31,885 and 69,829

Step by Step Solution

1. Step 1: Write the proportion equation
   31,885 : 69,829 = 69,829 : x
2. Step 2: Convert to fraction form
   31,885/69,829 = 69,829/x
3. Step 3: Cross multiply
   31,885x = 69,829 × 69,829
4. Step 4: Simplify right side
   31,885x = 4,876,089,241
5. Step 5: Solve for x
   x = 4,876,089,241/31,885
6. Step 6: Final answer
   x = 152,927.37