Finding the Third Proportional to 49,905.75 and 75,378.38

Step by Step Solution

1. Step 1: Write the proportion equation
   49,905.75 : 75,378.38 = 75,378.38 : x
2. Step 2: Convert to fraction form
   49,905.75/75,378.38 = 75,378.38/x
3. Step 3: Cross multiply
   49,905.75x = 75,378.38 × 75,378.38
4. Step 4: Simplify right side
   49,905.75x = 5,681,899,417.64
5. Step 5: Solve for x
   x = 5,681,899,417.64/49,905.75
6. Step 6: Final answer
   x = 113,852.60