Finding the Third Proportional to 37,592 and 80,368

Step by Step Solution

1. Step 1: Write the proportion equation
   37,592 : 80,368 = 80,368 : x
2. Step 2: Convert to fraction form
   37,592/80,368 = 80,368/x
3. Step 3: Cross multiply
   37,592x = 80,368 × 80,368
4. Step 4: Simplify right side
   37,592x = 6,459,015,424
5. Step 5: Solve for x
   x = 6,459,015,424/37,592
6. Step 6: Final answer
   x = 171,818.88