Finding the Third Proportional to 54,783 and 72,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,783 : 72,832.50 = 72,832.50 : x
2. Step 2: Convert to fraction form
   54,783/72,832.50 = 72,832.50/x
3. Step 3: Cross multiply
   54,783x = 72,832.50 × 72,832.50
4. Step 4: Simplify right side
   54,783x = 5,304,573,056.25
5. Step 5: Solve for x
   x = 5,304,573,056.25/54,783
6. Step 6: Final answer
   x = 96,828.82