Finding the Third Proportional to 29,968 and 65,672

Step by Step Solution

1. Step 1: Write the proportion equation
   29,968 : 65,672 = 65,672 : x
2. Step 2: Convert to fraction form
   29,968/65,672 = 65,672/x
3. Step 3: Cross multiply
   29,968x = 65,672 × 65,672
4. Step 4: Simplify right side
   29,968x = 4,312,811,584
5. Step 5: Solve for x
   x = 4,312,811,584/29,968
6. Step 6: Final answer
   x = 143,913.89