Finding the Third Proportional to 22,156 and 47,386

Step by Step Solution

1. Step 1: Write the proportion equation
   22,156 : 47,386 = 47,386 : x
2. Step 2: Convert to fraction form
   22,156/47,386 = 47,386/x
3. Step 3: Cross multiply
   22,156x = 47,386 × 47,386
4. Step 4: Simplify right side
   22,156x = 2,245,432,996
5. Step 5: Solve for x
   x = 2,245,432,996/22,156
6. Step 6: Final answer
   x = 101,346.50