Finding the Third Proportional to 27,120 and 57,156

Step by Step Solution

1. Step 1: Write the proportion equation
   27,120 : 57,156 = 57,156 : x
2. Step 2: Convert to fraction form
   27,120/57,156 = 57,156/x
3. Step 3: Cross multiply
   27,120x = 57,156 × 57,156
4. Step 4: Simplify right side
   27,120x = 3,266,808,336
5. Step 5: Solve for x
   x = 3,266,808,336/27,120
6. Step 6: Final answer
   x = 120,457.53