Finding the Third Proportional to 31,777.50 and 69,087

Step by Step Solution

1. Step 1: Write the proportion equation
   31,777.50 : 69,087 = 69,087 : x
2. Step 2: Convert to fraction form
   31,777.50/69,087 = 69,087/x
3. Step 3: Cross multiply
   31,777.50x = 69,087 × 69,087
4. Step 4: Simplify right side
   31,777.50x = 4,773,013,569
5. Step 5: Solve for x
   x = 4,773,013,569/31,777.50
6. Step 6: Final answer
   x = 150,201.04