Finding the Third Proportional to 25,584 and 55,606

Step by Step Solution

1. Step 1: Write the proportion equation
   25,584 : 55,606 = 55,606 : x
2. Step 2: Convert to fraction form
   25,584/55,606 = 55,606/x
3. Step 3: Cross multiply
   25,584x = 55,606 × 55,606
4. Step 4: Simplify right side
   25,584x = 3,092,027,236
5. Step 5: Solve for x
   x = 3,092,027,236/25,584
6. Step 6: Final answer
   x = 120,857.85