Finding the Third Proportional to 42,834 and 64,014

Step by Step Solution

1. Step 1: Write the proportion equation
   42,834 : 64,014 = 64,014 : x
2. Step 2: Convert to fraction form
   42,834/64,014 = 64,014/x
3. Step 3: Cross multiply
   42,834x = 64,014 × 64,014
4. Step 4: Simplify right side
   42,834x = 4,097,792,196
5. Step 5: Solve for x
   x = 4,097,792,196/42,834
6. Step 6: Final answer
   x = 95,666.81