Finding the Third Proportional to 25,848 and 37,764

Step by Step Solution

1. Step 1: Write the proportion equation
   25,848 : 37,764 = 37,764 : x
2. Step 2: Convert to fraction form
   25,848/37,764 = 37,764/x
3. Step 3: Cross multiply
   25,848x = 37,764 × 37,764
4. Step 4: Simplify right side
   25,848x = 1,426,119,696
5. Step 5: Solve for x
   x = 1,426,119,696/25,848
6. Step 6: Final answer
   x = 55,173.31