Finding the Third Proportional to 29,978 and 65,332

Step by Step Solution

1. Step 1: Write the proportion equation
   29,978 : 65,332 = 65,332 : x
2. Step 2: Convert to fraction form
   29,978/65,332 = 65,332/x
3. Step 3: Cross multiply
   29,978x = 65,332 × 65,332
4. Step 4: Simplify right side
   29,978x = 4,268,270,224
5. Step 5: Solve for x
   x = 4,268,270,224/29,978
6. Step 6: Final answer
   x = 142,380.09