Finding the Third Proportional to 25,526 and 37,299

Step by Step Solution

1. Step 1: Write the proportion equation
   25,526 : 37,299 = 37,299 : x
2. Step 2: Convert to fraction form
   25,526/37,299 = 37,299/x
3. Step 3: Cross multiply
   25,526x = 37,299 × 37,299
4. Step 4: Simplify right side
   25,526x = 1,391,215,401
5. Step 5: Solve for x
   x = 1,391,215,401/25,526
6. Step 6: Final answer
   x = 54,501.90