Finding the Third Proportional to 22,978 and 47,900

Step by Step Solution

1. Step 1: Write the proportion equation
   22,978 : 47,900 = 47,900 : x
2. Step 2: Convert to fraction form
   22,978/47,900 = 47,900/x
3. Step 3: Cross multiply
   22,978x = 47,900 × 47,900
4. Step 4: Simplify right side
   22,978x = 2,294,410,000
5. Step 5: Solve for x
   x = 2,294,410,000/22,978
6. Step 6: Final answer
   x = 99,852.47