Finding the Third Proportional to 25,850 and 53,620

Step by Step Solution

1. Step 1: Write the proportion equation
   25,850 : 53,620 = 53,620 : x
2. Step 2: Convert to fraction form
   25,850/53,620 = 53,620/x
3. Step 3: Cross multiply
   25,850x = 53,620 × 53,620
4. Step 4: Simplify right side
   25,850x = 2,875,104,400
5. Step 5: Solve for x
   x = 2,875,104,400/25,850
6. Step 6: Final answer
   x = 111,222.61