Finding the Third Proportional to 64,856 and 101,604

Step by Step Solution

1. Step 1: Write the proportion equation
   64,856 : 101,604 = 101,604 : x
2. Step 2: Convert to fraction form
   64,856/101,604 = 101,604/x
3. Step 3: Cross multiply
   64,856x = 101,604 × 101,604
4. Step 4: Simplify right side
   64,856x = 10,323,372,816
5. Step 5: Solve for x
   x = 10,323,372,816/64,856
6. Step 6: Final answer
   x = 159,173.75