Finding the Third Proportional to 47,808 and 71,388

Step by Step Solution

1. Step 1: Write the proportion equation
   47,808 : 71,388 = 71,388 : x
2. Step 2: Convert to fraction form
   47,808/71,388 = 71,388/x
3. Step 3: Cross multiply
   47,808x = 71,388 × 71,388
4. Step 4: Simplify right side
   47,808x = 5,096,246,544
5. Step 5: Solve for x
   x = 5,096,246,544/47,808
6. Step 6: Final answer
   x = 106,598.20