Finding the Third Proportional to 13,680 and 31,968

Step by Step Solution

1. Step 1: Write the proportion equation
   13,680 : 31,968 = 31,968 : x
2. Step 2: Convert to fraction form
   13,680/31,968 = 31,968/x
3. Step 3: Cross multiply
   13,680x = 31,968 × 31,968
4. Step 4: Simplify right side
   13,680x = 1,021,953,024
5. Step 5: Solve for x
   x = 1,021,953,024/13,680
6. Step 6: Final answer
   x = 74,704.17