Finding the Third Proportional to 30,684 and 45,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,684 : 45,013.50 = 45,013.50 : x
2. Step 2: Convert to fraction form
   30,684/45,013.50 = 45,013.50/x
3. Step 3: Cross multiply
   30,684x = 45,013.50 × 45,013.50
4. Step 4: Simplify right side
   30,684x = 2,026,215,182.25
5. Step 5: Solve for x
   x = 2,026,215,182.25/30,684
6. Step 6: Final answer
   x = 66,034.91