Finding the Third Proportional to 37,952 and 80,832

Step by Step Solution

1. Step 1: Write the proportion equation
   37,952 : 80,832 = 80,832 : x
2. Step 2: Convert to fraction form
   37,952/80,832 = 80,832/x
3. Step 3: Cross multiply
   37,952x = 80,832 × 80,832
4. Step 4: Simplify right side
   37,952x = 6,533,812,224
5. Step 5: Solve for x
   x = 6,533,812,224/37,952
6. Step 6: Final answer
   x = 172,159.89