Finding the Third Proportional to 16,534 and 35,876

Step by Step Solution

1. Step 1: Write the proportion equation
   16,534 : 35,876 = 35,876 : x
2. Step 2: Convert to fraction form
   16,534/35,876 = 35,876/x
3. Step 3: Cross multiply
   16,534x = 35,876 × 35,876
4. Step 4: Simplify right side
   16,534x = 1,287,087,376
5. Step 5: Solve for x
   x = 1,287,087,376/16,534
6. Step 6: Final answer
   x = 77,844.89