Finding the Third Proportional to 37,164 and 80,088

Step by Step Solution

1. Step 1: Write the proportion equation
   37,164 : 80,088 = 80,088 : x
2. Step 2: Convert to fraction form
   37,164/80,088 = 80,088/x
3. Step 3: Cross multiply
   37,164x = 80,088 × 80,088
4. Step 4: Simplify right side
   37,164x = 6,414,087,744
5. Step 5: Solve for x
   x = 6,414,087,744/37,164
6. Step 6: Final answer
   x = 172,588.73