Finding the Third Proportional to 10,380 and 23,106

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380 : 23,106 = 23,106 : x
2. Step 2: Convert to fraction form
   10,380/23,106 = 23,106/x
3. Step 3: Cross multiply
   10,380x = 23,106 × 23,106
4. Step 4: Simplify right side
   10,380x = 533,887,236
5. Step 5: Solve for x
   x = 533,887,236/10,380
6. Step 6: Final answer
   x = 51,434.22