Finding the Third Proportional to 33,461 and 72,028

Step by Step Solution

1. Step 1: Write the proportion equation
   33,461 : 72,028 = 72,028 : x
2. Step 2: Convert to fraction form
   33,461/72,028 = 72,028/x
3. Step 3: Cross multiply
   33,461x = 72,028 × 72,028
4. Step 4: Simplify right side
   33,461x = 5,188,032,784
5. Step 5: Solve for x
   x = 5,188,032,784/33,461
6. Step 6: Final answer
   x = 155,047.15