Finding the Third Proportional to 25,825.50 and 34,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,825.50 : 34,996.50 = 34,996.50 : x
2. Step 2: Convert to fraction form
   25,825.50/34,996.50 = 34,996.50/x
3. Step 3: Cross multiply
   25,825.50x = 34,996.50 × 34,996.50
4. Step 4: Simplify right side
   25,825.50x = 1,224,755,012.25
5. Step 5: Solve for x
   x = 1,224,755,012.25/25,825.50
6. Step 6: Final answer
   x = 47,424.25