Finding the Third Proportional to 13,768 and 32,108

Step by Step Solution

1. Step 1: Write the proportion equation
   13,768 : 32,108 = 32,108 : x
2. Step 2: Convert to fraction form
   13,768/32,108 = 32,108/x
3. Step 3: Cross multiply
   13,768x = 32,108 × 32,108
4. Step 4: Simplify right side
   13,768x = 1,030,923,664
5. Step 5: Solve for x
   x = 1,030,923,664/13,768
6. Step 6: Final answer
   x = 74,878.24