Finding the Third Proportional to 37,136 and 80,416

Step by Step Solution

1. Step 1: Write the proportion equation
   37,136 : 80,416 = 80,416 : x
2. Step 2: Convert to fraction form
   37,136/80,416 = 80,416/x
3. Step 3: Cross multiply
   37,136x = 80,416 × 80,416
4. Step 4: Simplify right side
   37,136x = 6,466,733,056
5. Step 5: Solve for x
   x = 6,466,733,056/37,136
6. Step 6: Final answer
   x = 174,136.50