Finding the Third Proportional to 25,932 and 37,765

Step by Step Solution

1. Step 1: Write the proportion equation
   25,932 : 37,765 = 37,765 : x
2. Step 2: Convert to fraction form
   25,932/37,765 = 37,765/x
3. Step 3: Cross multiply
   25,932x = 37,765 × 37,765
4. Step 4: Simplify right side
   25,932x = 1,426,195,225
5. Step 5: Solve for x
   x = 1,426,195,225/25,932
6. Step 6: Final answer
   x = 54,997.50