Finding the Third Proportional to 57,188 and 82,830

Step by Step Solution

1. Step 1: Write the proportion equation
   57,188 : 82,830 = 82,830 : x
2. Step 2: Convert to fraction form
   57,188/82,830 = 82,830/x
3. Step 3: Cross multiply
   57,188x = 82,830 × 82,830
4. Step 4: Simplify right side
   57,188x = 6,860,808,900
5. Step 5: Solve for x
   x = 6,860,808,900/57,188
6. Step 6: Final answer
   x = 119,969.38