Finding the Third Proportional to 16,011 and 35,140

Step by Step Solution

1. Step 1: Write the proportion equation
   16,011 : 35,140 = 35,140 : x
2. Step 2: Convert to fraction form
   16,011/35,140 = 35,140/x
3. Step 3: Cross multiply
   16,011x = 35,140 × 35,140
4. Step 4: Simplify right side
   16,011x = 1,234,819,600
5. Step 5: Solve for x
   x = 1,234,819,600/16,011
6. Step 6: Final answer
   x = 77,123.20