Finding the Third Proportional to 16,366 and 35,774

Step by Step Solution

1. Step 1: Write the proportion equation
   16,366 : 35,774 = 35,774 : x
2. Step 2: Convert to fraction form
   16,366/35,774 = 35,774/x
3. Step 3: Cross multiply
   16,366x = 35,774 × 35,774
4. Step 4: Simplify right side
   16,366x = 1,279,779,076
5. Step 5: Solve for x
   x = 1,279,779,076/16,366
6. Step 6: Final answer
   x = 78,197.43