Finding the Third Proportional to 29,822 and 65,248

Step by Step Solution

1. Step 1: Write the proportion equation
   29,822 : 65,248 = 65,248 : x
2. Step 2: Convert to fraction form
   29,822/65,248 = 65,248/x
3. Step 3: Cross multiply
   29,822x = 65,248 × 65,248
4. Step 4: Simplify right side
   29,822x = 4,257,301,504
5. Step 5: Solve for x
   x = 4,257,301,504/29,822
6. Step 6: Final answer
   x = 142,757.08