Finding the Third Proportional to 31,838.50 and 69,206

Step by Step Solution

1. Step 1: Write the proportion equation
   31,838.50 : 69,206 = 69,206 : x
2. Step 2: Convert to fraction form
   31,838.50/69,206 = 69,206/x
3. Step 3: Cross multiply
   31,838.50x = 69,206 × 69,206
4. Step 4: Simplify right side
   31,838.50x = 4,789,470,436
5. Step 5: Solve for x
   x = 4,789,470,436/31,838.50
6. Step 6: Final answer
   x = 150,430.15