Finding the Third Proportional to 31,647 and 69,126

Step by Step Solution

1. Step 1: Write the proportion equation
   31,647 : 69,126 = 69,126 : x
2. Step 2: Convert to fraction form
   31,647/69,126 = 69,126/x
3. Step 3: Cross multiply
   31,647x = 69,126 × 69,126
4. Step 4: Simplify right side
   31,647x = 4,778,403,876
5. Step 5: Solve for x
   x = 4,778,403,876/31,647
6. Step 6: Final answer
   x = 150,990.74