Finding the Third Proportional to 37,948 and 54,664

Step by Step Solution

1. Step 1: Write the proportion equation
   37,948 : 54,664 = 54,664 : x
2. Step 2: Convert to fraction form
   37,948/54,664 = 54,664/x
3. Step 3: Cross multiply
   37,948x = 54,664 × 54,664
4. Step 4: Simplify right side
   37,948x = 2,988,152,896
5. Step 5: Solve for x
   x = 2,988,152,896/37,948
6. Step 6: Final answer
   x = 78,743.36