Finding the Third Proportional to 11,214 and 23,148

Step by Step Solution

1. Step 1: Write the proportion equation
   11,214 : 23,148 = 23,148 : x
2. Step 2: Convert to fraction form
   11,214/23,148 = 23,148/x
3. Step 3: Cross multiply
   11,214x = 23,148 × 23,148
4. Step 4: Simplify right side
   11,214x = 535,829,904
5. Step 5: Solve for x
   x = 535,829,904/11,214
6. Step 6: Final answer
   x = 47,782.23