Finding the Third Proportional to 30,734 and 46,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,734 : 46,383.50 = 46,383.50 : x
2. Step 2: Convert to fraction form
   30,734/46,383.50 = 46,383.50/x
3. Step 3: Cross multiply
   30,734x = 46,383.50 × 46,383.50
4. Step 4: Simplify right side
   30,734x = 2,151,429,072.25
5. Step 5: Solve for x
   x = 2,151,429,072.25/30,734
6. Step 6: Final answer
   x = 70,001.60