Finding the Third Proportional to 25,884 and 55,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,884 : 55,732.50 = 55,732.50 : x
2. Step 2: Convert to fraction form
   25,884/55,732.50 = 55,732.50/x
3. Step 3: Cross multiply
   25,884x = 55,732.50 × 55,732.50
4. Step 4: Simplify right side
   25,884x = 3,106,111,556.25
5. Step 5: Solve for x
   x = 3,106,111,556.25/25,884
6. Step 6: Final answer
   x = 120,001.22