Finding the Third Proportional to 42,724 and 64,065

Step by Step Solution

1. Step 1: Write the proportion equation
   42,724 : 64,065 = 64,065 : x
2. Step 2: Convert to fraction form
   42,724/64,065 = 64,065/x
3. Step 3: Cross multiply
   42,724x = 64,065 × 64,065
4. Step 4: Simplify right side
   42,724x = 4,104,324,225
5. Step 5: Solve for x
   x = 4,104,324,225/42,724
6. Step 6: Final answer
   x = 96,066.01