Finding the Third Proportional to 34,540 and 61,972

Step by Step Solution

1. Step 1: Write the proportion equation
   34,540 : 61,972 = 61,972 : x
2. Step 2: Convert to fraction form
   34,540/61,972 = 61,972/x
3. Step 3: Cross multiply
   34,540x = 61,972 × 61,972
4. Step 4: Simplify right side
   34,540x = 3,840,528,784
5. Step 5: Solve for x
   x = 3,840,528,784/34,540
6. Step 6: Final answer
   x = 111,190.76