Finding the Third Proportional to 22,784 and 47,870

Step by Step Solution

1. Step 1: Write the proportion equation
   22,784 : 47,870 = 47,870 : x
2. Step 2: Convert to fraction form
   22,784/47,870 = 47,870/x
3. Step 3: Cross multiply
   22,784x = 47,870 × 47,870
4. Step 4: Simplify right side
   22,784x = 2,291,536,900
5. Step 5: Solve for x
   x = 2,291,536,900/22,784
6. Step 6: Final answer
   x = 100,576.58