Finding the Third Proportional to 65,629 and 101,819

Step by Step Solution

1. Step 1: Write the proportion equation
   65,629 : 101,819 = 101,819 : x
2. Step 2: Convert to fraction form
   65,629/101,819 = 101,819/x
3. Step 3: Cross multiply
   65,629x = 101,819 × 101,819
4. Step 4: Simplify right side
   65,629x = 10,367,108,761
5. Step 5: Solve for x
   x = 10,367,108,761/65,629
6. Step 6: Final answer
   x = 157,965.36