Finding the Third Proportional to 25,308 and 53,154

Step by Step Solution

1. Step 1: Write the proportion equation
   25,308 : 53,154 = 53,154 : x
2. Step 2: Convert to fraction form
   25,308/53,154 = 53,154/x
3. Step 3: Cross multiply
   25,308x = 53,154 × 53,154
4. Step 4: Simplify right side
   25,308x = 2,825,347,716
5. Step 5: Solve for x
   x = 2,825,347,716/25,308
6. Step 6: Final answer
   x = 111,638.52