Finding the Third Proportional to 23,416 and 55,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,416 : 55,274.50 = 55,274.50 : x
2. Step 2: Convert to fraction form
   23,416/55,274.50 = 55,274.50/x
3. Step 3: Cross multiply
   23,416x = 55,274.50 × 55,274.50
4. Step 4: Simplify right side
   23,416x = 3,055,270,350.25
5. Step 5: Solve for x
   x = 3,055,270,350.25/23,416
6. Step 6: Final answer
   x = 130,477.89