Finding the Third Proportional to 47,002 and 71,991

Step by Step Solution

1. Step 1: Write the proportion equation
   47,002 : 71,991 = 71,991 : x
2. Step 2: Convert to fraction form
   47,002/71,991 = 71,991/x
3. Step 3: Cross multiply
   47,002x = 71,991 × 71,991
4. Step 4: Simplify right side
   47,002x = 5,182,704,081
5. Step 5: Solve for x
   x = 5,182,704,081/47,002
6. Step 6: Final answer
   x = 110,265.61