Finding the Third Proportional to 31,150 and 47,635

Step by Step Solution

1. Step 1: Write the proportion equation
   31,150 : 47,635 = 47,635 : x
2. Step 2: Convert to fraction form
   31,150/47,635 = 47,635/x
3. Step 3: Cross multiply
   31,150x = 47,635 × 47,635
4. Step 4: Simplify right side
   31,150x = 2,269,093,225
5. Step 5: Solve for x
   x = 2,269,093,225/31,150
6. Step 6: Final answer
   x = 72,844.08