Finding the Third Proportional to 31,995.38 and 69,822.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,995.38 : 69,822.75 = 69,822.75 : x
2. Step 2: Convert to fraction form
   31,995.38/69,822.75 = 69,822.75/x
3. Step 3: Cross multiply
   31,995.38x = 69,822.75 × 69,822.75
4. Step 4: Simplify right side
   31,995.38x = 4,875,216,417.56
5. Step 5: Solve for x
   x = 4,875,216,417.56/31,995.38
6. Step 6: Final answer
   x = 152,372.54