Finding the Third Proportional to 48,024 and 72,699

Step by Step Solution

1. Step 1: Write the proportion equation
   48,024 : 72,699 = 72,699 : x
2. Step 2: Convert to fraction form
   48,024/72,699 = 72,699/x
3. Step 3: Cross multiply
   48,024x = 72,699 × 72,699
4. Step 4: Simplify right side
   48,024x = 5,285,144,601
5. Step 5: Solve for x
   x = 5,285,144,601/48,024
6. Step 6: Final answer
   x = 110,052.15