Finding the Third Proportional to 31,834 and 69,500

Step by Step Solution

1. Step 1: Write the proportion equation
   31,834 : 69,500 = 69,500 : x
2. Step 2: Convert to fraction form
   31,834/69,500 = 69,500/x
3. Step 3: Cross multiply
   31,834x = 69,500 × 69,500
4. Step 4: Simplify right side
   31,834x = 4,830,250,000
5. Step 5: Solve for x
   x = 4,830,250,000/31,834
6. Step 6: Final answer
   x = 151,732.42