Finding the Third Proportional to 25,588.50 and 55,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,588.50 : 55,547.50 = 55,547.50 : x
2. Step 2: Convert to fraction form
   25,588.50/55,547.50 = 55,547.50/x
3. Step 3: Cross multiply
   25,588.50x = 55,547.50 × 55,547.50
4. Step 4: Simplify right side
   25,588.50x = 3,085,524,756.25
5. Step 5: Solve for x
   x = 3,085,524,756.25/25,588.50
6. Step 6: Final answer
   x = 120,582.48