Finding the Third Proportional to 29,896 and 65,032

Step by Step Solution

1. Step 1: Write the proportion equation
   29,896 : 65,032 = 65,032 : x
2. Step 2: Convert to fraction form
   29,896/65,032 = 65,032/x
3. Step 3: Cross multiply
   29,896x = 65,032 × 65,032
4. Step 4: Simplify right side
   29,896x = 4,229,161,024
5. Step 5: Solve for x
   x = 4,229,161,024/29,896
6. Step 6: Final answer
   x = 141,462.44