Finding the Third Proportional to 33,602 and 73,970

Step by Step Solution

1. Step 1: Write the proportion equation
   33,602 : 73,970 = 73,970 : x
2. Step 2: Convert to fraction form
   33,602/73,970 = 73,970/x
3. Step 3: Cross multiply
   33,602x = 73,970 × 73,970
4. Step 4: Simplify right side
   33,602x = 5,471,560,900
5. Step 5: Solve for x
   x = 5,471,560,900/33,602
6. Step 6: Final answer
   x = 162,834.38