Finding the Third Proportional to 33,980 and 72,088

Step by Step Solution

1. Step 1: Write the proportion equation
   33,980 : 72,088 = 72,088 : x
2. Step 2: Convert to fraction form
   33,980/72,088 = 72,088/x
3. Step 3: Cross multiply
   33,980x = 72,088 × 72,088
4. Step 4: Simplify right side
   33,980x = 5,196,679,744
5. Step 5: Solve for x
   x = 5,196,679,744/33,980
6. Step 6: Final answer
   x = 152,933.48