Finding the Third Proportional to 37,122 and 76,056

Step by Step Solution

1. Step 1: Write the proportion equation
   37,122 : 76,056 = 76,056 : x
2. Step 2: Convert to fraction form
   37,122/76,056 = 76,056/x
3. Step 3: Cross multiply
   37,122x = 76,056 × 76,056
4. Step 4: Simplify right side
   37,122x = 5,784,515,136
5. Step 5: Solve for x
   x = 5,784,515,136/37,122
6. Step 6: Final answer
   x = 155,824.45