Finding the Third Proportional to 23,840 and 55,428

Step by Step Solution

1. Step 1: Write the proportion equation
   23,840 : 55,428 = 55,428 : x
2. Step 2: Convert to fraction form
   23,840/55,428 = 55,428/x
3. Step 3: Cross multiply
   23,840x = 55,428 × 55,428
4. Step 4: Simplify right side
   23,840x = 3,072,263,184
5. Step 5: Solve for x
   x = 3,072,263,184/23,840
6. Step 6: Final answer
   x = 128,870.10