Finding the Third Proportional to 29,996 and 65,172

Step by Step Solution

1. Step 1: Write the proportion equation
   29,996 : 65,172 = 65,172 : x
2. Step 2: Convert to fraction form
   29,996/65,172 = 65,172/x
3. Step 3: Cross multiply
   29,996x = 65,172 × 65,172
4. Step 4: Simplify right side
   29,996x = 4,247,389,584
5. Step 5: Solve for x
   x = 4,247,389,584/29,996
6. Step 6: Final answer
   x = 141,598.53