Finding the Third Proportional to 33,632 and 72,988

Step by Step Solution

1. Step 1: Write the proportion equation
   33,632 : 72,988 = 72,988 : x
2. Step 2: Convert to fraction form
   33,632/72,988 = 72,988/x
3. Step 3: Cross multiply
   33,632x = 72,988 × 72,988
4. Step 4: Simplify right side
   33,632x = 5,327,248,144
5. Step 5: Solve for x
   x = 5,327,248,144/33,632
6. Step 6: Final answer
   x = 158,398.20