Finding the Third Proportional to 30,096 and 46,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,096 : 46,819.50 = 46,819.50 : x
2. Step 2: Convert to fraction form
   30,096/46,819.50 = 46,819.50/x
3. Step 3: Cross multiply
   30,096x = 46,819.50 × 46,819.50
4. Step 4: Simplify right side
   30,096x = 2,192,065,580.25
5. Step 5: Solve for x
   x = 2,192,065,580.25/30,096
6. Step 6: Final answer
   x = 72,835.78