Finding the Third Proportional to 9,840 and 23,106

Step by Step Solution

1. Step 1: Write the proportion equation
   9,840 : 23,106 = 23,106 : x
2. Step 2: Convert to fraction form
   9,840/23,106 = 23,106/x
3. Step 3: Cross multiply
   9,840x = 23,106 × 23,106
4. Step 4: Simplify right side
   9,840x = 533,887,236
5. Step 5: Solve for x
   x = 533,887,236/9,840
6. Step 6: Final answer
   x = 54,256.83