Finding the Third Proportional to 31,338 and 48,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,338 : 48,912.50 = 48,912.50 : x
2. Step 2: Convert to fraction form
   31,338/48,912.50 = 48,912.50/x
3. Step 3: Cross multiply
   31,338x = 48,912.50 × 48,912.50
4. Step 4: Simplify right side
   31,338x = 2,392,432,656.25
5. Step 5: Solve for x
   x = 2,392,432,656.25/31,338
6. Step 6: Final answer
   x = 76,342.86