Finding the Third Proportional to 23,820 and 52,368

Step by Step Solution

1. Step 1: Write the proportion equation
   23,820 : 52,368 = 52,368 : x
2. Step 2: Convert to fraction form
   23,820/52,368 = 52,368/x
3. Step 3: Cross multiply
   23,820x = 52,368 × 52,368
4. Step 4: Simplify right side
   23,820x = 2,742,407,424
5. Step 5: Solve for x
   x = 2,742,407,424/23,820
6. Step 6: Final answer
   x = 115,130.45