Finding the Third Proportional to 57,380 and 77,110

Step by Step Solution

1. Step 1: Write the proportion equation
   57,380 : 77,110 = 77,110 : x
2. Step 2: Convert to fraction form
   57,380/77,110 = 77,110/x
3. Step 3: Cross multiply
   57,380x = 77,110 × 77,110
4. Step 4: Simplify right side
   57,380x = 5,945,952,100
5. Step 5: Solve for x
   x = 5,945,952,100/57,380
6. Step 6: Final answer
   x = 103,624.12