Finding the Third Proportional to 23,838 and 47,076

Step by Step Solution

1. Step 1: Write the proportion equation
   23,838 : 47,076 = 47,076 : x
2. Step 2: Convert to fraction form
   23,838/47,076 = 47,076/x
3. Step 3: Cross multiply
   23,838x = 47,076 × 47,076
4. Step 4: Simplify right side
   23,838x = 2,216,149,776
5. Step 5: Solve for x
   x = 2,216,149,776/23,838
6. Step 6: Final answer
   x = 92,967.10