Finding the Third Proportional to 64,023 and 101,799

Step by Step Solution

1. Step 1: Write the proportion equation
   64,023 : 101,799 = 101,799 : x
2. Step 2: Convert to fraction form
   64,023/101,799 = 101,799/x
3. Step 3: Cross multiply
   64,023x = 101,799 × 101,799
4. Step 4: Simplify right side
   64,023x = 10,363,036,401
5. Step 5: Solve for x
   x = 10,363,036,401/64,023
6. Step 6: Final answer
   x = 161,864.27