Finding the Third Proportional to 23,820 and 53,280

Step by Step Solution

1. Step 1: Write the proportion equation
   23,820 : 53,280 = 53,280 : x
2. Step 2: Convert to fraction form
   23,820/53,280 = 53,280/x
3. Step 3: Cross multiply
   23,820x = 53,280 × 53,280
4. Step 4: Simplify right side
   23,820x = 2,838,758,400
5. Step 5: Solve for x
   x = 2,838,758,400/23,820
6. Step 6: Final answer
   x = 119,175.42