Finding the Third Proportional to 29,832 and 65,194

Step by Step Solution

1. Step 1: Write the proportion equation
   29,832 : 65,194 = 65,194 : x
2. Step 2: Convert to fraction form
   29,832/65,194 = 65,194/x
3. Step 3: Cross multiply
   29,832x = 65,194 × 65,194
4. Step 4: Simplify right side
   29,832x = 4,250,257,636
5. Step 5: Solve for x
   x = 4,250,257,636/29,832
6. Step 6: Final answer
   x = 142,473.10