Finding the Third Proportional to 31,852.50 and 69,243

Step by Step Solution

1. Step 1: Write the proportion equation
   31,852.50 : 69,243 = 69,243 : x
2. Step 2: Convert to fraction form
   31,852.50/69,243 = 69,243/x
3. Step 3: Cross multiply
   31,852.50x = 69,243 × 69,243
4. Step 4: Simplify right side
   31,852.50x = 4,794,593,049
5. Step 5: Solve for x
   x = 4,794,593,049/31,852.50
6. Step 6: Final answer
   x = 150,524.86