Finding the Third Proportional to 13,768 and 21,876

Step by Step Solution

1. Step 1: Write the proportion equation
   13,768 : 21,876 = 21,876 : x
2. Step 2: Convert to fraction form
   13,768/21,876 = 21,876/x
3. Step 3: Cross multiply
   13,768x = 21,876 × 21,876
4. Step 4: Simplify right side
   13,768x = 478,559,376
5. Step 5: Solve for x
   x = 478,559,376/13,768
6. Step 6: Final answer
   x = 34,758.82