Finding the Third Proportional to 65,617 and 101,797

Step by Step Solution

1. Step 1: Write the proportion equation
   65,617 : 101,797 = 101,797 : x
2. Step 2: Convert to fraction form
   65,617/101,797 = 101,797/x
3. Step 3: Cross multiply
   65,617x = 101,797 × 101,797
4. Step 4: Simplify right side
   65,617x = 10,362,629,209
5. Step 5: Solve for x
   x = 10,362,629,209/65,617
6. Step 6: Final answer
   x = 157,925.98