Finding the Third Proportional to 65,728 and 101,964

Step by Step Solution

1. Step 1: Write the proportion equation
   65,728 : 101,964 = 101,964 : x
2. Step 2: Convert to fraction form
   65,728/101,964 = 101,964/x
3. Step 3: Cross multiply
   65,728x = 101,964 × 101,964
4. Step 4: Simplify right side
   65,728x = 10,396,657,296
5. Step 5: Solve for x
   x = 10,396,657,296/65,728
6. Step 6: Final answer
   x = 158,176.99