Finding the Third Proportional to 22,614 and 47,007

Step by Step Solution

1. Step 1: Write the proportion equation
   22,614 : 47,007 = 47,007 : x
2. Step 2: Convert to fraction form
   22,614/47,007 = 47,007/x
3. Step 3: Cross multiply
   22,614x = 47,007 × 47,007
4. Step 4: Simplify right side
   22,614x = 2,209,658,049
5. Step 5: Solve for x
   x = 2,209,658,049/22,614
6. Step 6: Final answer
   x = 97,711.95