Finding the Third Proportional to 29,662 and 65,154

Step by Step Solution

1. Step 1: Write the proportion equation
   29,662 : 65,154 = 65,154 : x
2. Step 2: Convert to fraction form
   29,662/65,154 = 65,154/x
3. Step 3: Cross multiply
   29,662x = 65,154 × 65,154
4. Step 4: Simplify right side
   29,662x = 4,245,043,716
5. Step 5: Solve for x
   x = 4,245,043,716/29,662
6. Step 6: Final answer
   x = 143,113.87