Finding the Third Proportional to 25,478 and 37,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,478 : 37,433.50 = 37,433.50 : x
2. Step 2: Convert to fraction form
   25,478/37,433.50 = 37,433.50/x
3. Step 3: Cross multiply
   25,478x = 37,433.50 × 37,433.50
4. Step 4: Simplify right side
   25,478x = 1,401,266,922.25
5. Step 5: Solve for x
   x = 1,401,266,922.25/25,478
6. Step 6: Final answer
   x = 54,999.09