Finding the Third Proportional to 16,166 and 35,338

Step by Step Solution

1. Step 1: Write the proportion equation
   16,166 : 35,338 = 35,338 : x
2. Step 2: Convert to fraction form
   16,166/35,338 = 35,338/x
3. Step 3: Cross multiply
   16,166x = 35,338 × 35,338
4. Step 4: Simplify right side
   16,166x = 1,248,774,244
5. Step 5: Solve for x
   x = 1,248,774,244/16,166
6. Step 6: Final answer
   x = 77,246.95