Finding the Third Proportional to 33,652 and 72,877

Step by Step Solution

1. Step 1: Write the proportion equation
   33,652 : 72,877 = 72,877 : x
2. Step 2: Convert to fraction form
   33,652/72,877 = 72,877/x
3. Step 3: Cross multiply
   33,652x = 72,877 × 72,877
4. Step 4: Simplify right side
   33,652x = 5,311,057,129
5. Step 5: Solve for x
   x = 5,311,057,129/33,652
6. Step 6: Final answer
   x = 157,822.93