Finding the Third Proportional to 22,655 and 53,308

Step by Step Solution

1. Step 1: Write the proportion equation
   22,655 : 53,308 = 53,308 : x
2. Step 2: Convert to fraction form
   22,655/53,308 = 53,308/x
3. Step 3: Cross multiply
   22,655x = 53,308 × 53,308
4. Step 4: Simplify right side
   22,655x = 2,841,742,864
5. Step 5: Solve for x
   x = 2,841,742,864/22,655
6. Step 6: Final answer
   x = 125,435.57