Finding the Third Proportional to 31,149 and 48,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,149 : 48,361.50 = 48,361.50 : x
2. Step 2: Convert to fraction form
   31,149/48,361.50 = 48,361.50/x
3. Step 3: Cross multiply
   31,149x = 48,361.50 × 48,361.50
4. Step 4: Simplify right side
   31,149x = 2,338,834,682.25
5. Step 5: Solve for x
   x = 2,338,834,682.25/31,149
6. Step 6: Final answer
   x = 75,085.39