Finding the Third Proportional to 9,804 and 23,117

Step by Step Solution

1. Step 1: Write the proportion equation
   9,804 : 23,117 = 23,117 : x
2. Step 2: Convert to fraction form
   9,804/23,117 = 23,117/x
3. Step 3: Cross multiply
   9,804x = 23,117 × 23,117
4. Step 4: Simplify right side
   9,804x = 534,395,689
5. Step 5: Solve for x
   x = 534,395,689/9,804
6. Step 6: Final answer
   x = 54,507.92