Finding the Third Proportional to 49,761 and 75,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,761 : 75,361.50 = 75,361.50 : x
2. Step 2: Convert to fraction form
   49,761/75,361.50 = 75,361.50/x
3. Step 3: Cross multiply
   49,761x = 75,361.50 × 75,361.50
4. Step 4: Simplify right side
   49,761x = 5,679,355,682.25
5. Step 5: Solve for x
   x = 5,679,355,682.25/49,761
6. Step 6: Final answer
   x = 114,132.67