Finding the Third Proportional to 47,182 and 72,411

Step by Step Solution

1. Step 1: Write the proportion equation
   47,182 : 72,411 = 72,411 : x
2. Step 2: Convert to fraction form
   47,182/72,411 = 72,411/x
3. Step 3: Cross multiply
   47,182x = 72,411 × 72,411
4. Step 4: Simplify right side
   47,182x = 5,243,352,921
5. Step 5: Solve for x
   x = 5,243,352,921/47,182
6. Step 6: Final answer
   x = 111,130.37