Finding the Third Proportional to 29,738 and 65,308

Step by Step Solution

1. Step 1: Write the proportion equation
   29,738 : 65,308 = 65,308 : x
2. Step 2: Convert to fraction form
   29,738/65,308 = 65,308/x
3. Step 3: Cross multiply
   29,738x = 65,308 × 65,308
4. Step 4: Simplify right side
   29,738x = 4,265,134,864
5. Step 5: Solve for x
   x = 4,265,134,864/29,738
6. Step 6: Final answer
   x = 143,423.73