Finding the Third Proportional to 16,106 and 35,380

Step by Step Solution

1. Step 1: Write the proportion equation
   16,106 : 35,380 = 35,380 : x
2. Step 2: Convert to fraction form
   16,106/35,380 = 35,380/x
3. Step 3: Cross multiply
   16,106x = 35,380 × 35,380
4. Step 4: Simplify right side
   16,106x = 1,251,744,400
5. Step 5: Solve for x
   x = 1,251,744,400/16,106
6. Step 6: Final answer
   x = 77,719.14