Finding the Third Proportional to 47,914 and 72,537

Step by Step Solution

1. Step 1: Write the proportion equation
   47,914 : 72,537 = 72,537 : x
2. Step 2: Convert to fraction form
   47,914/72,537 = 72,537/x
3. Step 3: Cross multiply
   47,914x = 72,537 × 72,537
4. Step 4: Simplify right side
   47,914x = 5,261,616,369
5. Step 5: Solve for x
   x = 5,261,616,369/47,914
6. Step 6: Final answer
   x = 109,813.76