Finding the Third Proportional to 30,783 and 47,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,783 : 47,758.50 = 47,758.50 : x
2. Step 2: Convert to fraction form
   30,783/47,758.50 = 47,758.50/x
3. Step 3: Cross multiply
   30,783x = 47,758.50 × 47,758.50
4. Step 4: Simplify right side
   30,783x = 2,280,874,322.25
5. Step 5: Solve for x
   x = 2,280,874,322.25/30,783
6. Step 6: Final answer
   x = 74,095.26