Finding the Third Proportional to 47,145 and 64,065

Step by Step Solution

1. Step 1: Write the proportion equation
   47,145 : 64,065 = 64,065 : x
2. Step 2: Convert to fraction form
   47,145/64,065 = 64,065/x
3. Step 3: Cross multiply
   47,145x = 64,065 × 64,065
4. Step 4: Simplify right side
   47,145x = 4,104,324,225
5. Step 5: Solve for x
   x = 4,104,324,225/47,145
6. Step 6: Final answer
   x = 87,057.47