Finding the Third Proportional to 25,188 and 53,109

Step by Step Solution

1. Step 1: Write the proportion equation
   25,188 : 53,109 = 53,109 : x
2. Step 2: Convert to fraction form
   25,188/53,109 = 53,109/x
3. Step 3: Cross multiply
   25,188x = 53,109 × 53,109
4. Step 4: Simplify right side
   25,188x = 2,820,565,881
5. Step 5: Solve for x
   x = 2,820,565,881/25,188
6. Step 6: Final answer
   x = 111,980.54