Finding the Third Proportional to 25,897.50 and 55,874.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,897.50 : 55,874.25 = 55,874.25 : x
2. Step 2: Convert to fraction form
   25,897.50/55,874.25 = 55,874.25/x
3. Step 3: Cross multiply
   25,897.50x = 55,874.25 × 55,874.25
4. Step 4: Simplify right side
   25,897.50x = 3,121,931,813.06
5. Step 5: Solve for x
   x = 3,121,931,813.06/25,897.50
6. Step 6: Final answer
   x = 120,549.54