Finding the Third Proportional to 29,692 and 65,222

Step by Step Solution

1. Step 1: Write the proportion equation
   29,692 : 65,222 = 65,222 : x
2. Step 2: Convert to fraction form
   29,692/65,222 = 65,222/x
3. Step 3: Cross multiply
   29,692x = 65,222 × 65,222
4. Step 4: Simplify right side
   29,692x = 4,253,909,284
5. Step 5: Solve for x
   x = 4,253,909,284/29,692
6. Step 6: Final answer
   x = 143,267.86