Finding the Third Proportional to 30,942 and 67,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,942 : 67,438.50 = 67,438.50 : x
2. Step 2: Convert to fraction form
   30,942/67,438.50 = 67,438.50/x
3. Step 3: Cross multiply
   30,942x = 67,438.50 × 67,438.50
4. Step 4: Simplify right side
   30,942x = 4,547,951,282.25
5. Step 5: Solve for x
   x = 4,547,951,282.25/30,942
6. Step 6: Final answer
   x = 146,983.11