Finding the Third Proportional to 37,752 and 82,056

Step by Step Solution

1. Step 1: Write the proportion equation
   37,752 : 82,056 = 82,056 : x
2. Step 2: Convert to fraction form
   37,752/82,056 = 82,056/x
3. Step 3: Cross multiply
   37,752x = 82,056 × 82,056
4. Step 4: Simplify right side
   37,752x = 6,733,187,136
5. Step 5: Solve for x
   x = 6,733,187,136/37,752
6. Step 6: Final answer
   x = 178,353.12