Finding the Third Proportional to 30,729.38 and 67,478.06

Step by Step Solution

1. Step 1: Write the proportion equation
   30,729.38 : 67,478.06 = 67,478.06 : x
2. Step 2: Convert to fraction form
   30,729.38/67,478.06 = 67,478.06/x
3. Step 3: Cross multiply
   30,729.38x = 67,478.06 × 67,478.06
4. Step 4: Simplify right side
   30,729.38x = 4,553,288,918.75
5. Step 5: Solve for x
   x = 4,553,288,918.75/30,729.38
6. Step 6: Final answer
   x = 148,173.82