Finding the Third Proportional to 7,776 and 17,064

Step by Step Solution

1. Step 1: Write the proportion equation
   7,776 : 17,064 = 17,064 : x
2. Step 2: Convert to fraction form
   7,776/17,064 = 17,064/x
3. Step 3: Cross multiply
   7,776x = 17,064 × 17,064
4. Step 4: Simplify right side
   7,776x = 291,180,096
5. Step 5: Solve for x
   x = 291,180,096/7,776
6. Step 6: Final answer
   x = 37,446