Finding the Third Proportional to 23,820 and 53,709

Step by Step Solution

1. Step 1: Write the proportion equation
   23,820 : 53,709 = 53,709 : x
2. Step 2: Convert to fraction form
   23,820/53,709 = 53,709/x
3. Step 3: Cross multiply
   23,820x = 53,709 × 53,709
4. Step 4: Simplify right side
   23,820x = 2,884,656,681
5. Step 5: Solve for x
   x = 2,884,656,681/23,820
6. Step 6: Final answer
   x = 121,102.30