Finding the Third Proportional to 11,214 and 23,134.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,214 : 23,134.50 = 23,134.50 : x
2. Step 2: Convert to fraction form
   11,214/23,134.50 = 23,134.50/x
3. Step 3: Cross multiply
   11,214x = 23,134.50 × 23,134.50
4. Step 4: Simplify right side
   11,214x = 535,205,090.25
5. Step 5: Solve for x
   x = 535,205,090.25/11,214
6. Step 6: Final answer
   x = 47,726.51