Finding the Third Proportional to 27,152.50 and 57,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,152.50 : 57,582.50 = 57,582.50 : x
2. Step 2: Convert to fraction form
   27,152.50/57,582.50 = 57,582.50/x
3. Step 3: Cross multiply
   27,152.50x = 57,582.50 × 57,582.50
4. Step 4: Simplify right side
   27,152.50x = 3,315,744,306.25
5. Step 5: Solve for x
   x = 3,315,744,306.25/27,152.50
6. Step 6: Final answer
   x = 122,115.62