Finding the Third Proportional to 29,942 and 65,704

Step by Step Solution

1. Step 1: Write the proportion equation
   29,942 : 65,704 = 65,704 : x
2. Step 2: Convert to fraction form
   29,942/65,704 = 65,704/x
3. Step 3: Cross multiply
   29,942x = 65,704 × 65,704
4. Step 4: Simplify right side
   29,942x = 4,317,015,616
5. Step 5: Solve for x
   x = 4,317,015,616/29,942
6. Step 6: Final answer
   x = 144,179.27