Finding the Third Proportional to 37,152 and 49,896

Step by Step Solution

1. Step 1: Write the proportion equation
   37,152 : 49,896 = 49,896 : x
2. Step 2: Convert to fraction form
   37,152/49,896 = 49,896/x
3. Step 3: Cross multiply
   37,152x = 49,896 × 49,896
4. Step 4: Simplify right side
   37,152x = 2,489,610,816
5. Step 5: Solve for x
   x = 2,489,610,816/37,152
6. Step 6: Final answer
   x = 67,011.49