Finding the Third Proportional to 9,852 and 23,080

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852 : 23,080 = 23,080 : x
2. Step 2: Convert to fraction form
   9,852/23,080 = 23,080/x
3. Step 3: Cross multiply
   9,852x = 23,080 × 23,080
4. Step 4: Simplify right side
   9,852x = 532,686,400
5. Step 5: Solve for x
   x = 532,686,400/9,852
6. Step 6: Final answer
   x = 54,068.86