Finding the Third Proportional to 25,821 and 55,591

Step by Step Solution

1. Step 1: Write the proportion equation
   25,821 : 55,591 = 55,591 : x
2. Step 2: Convert to fraction form
   25,821/55,591 = 55,591/x
3. Step 3: Cross multiply
   25,821x = 55,591 × 55,591
4. Step 4: Simplify right side
   25,821x = 3,090,359,281
5. Step 5: Solve for x
   x = 3,090,359,281/25,821
6. Step 6: Final answer
   x = 119,683.95