Finding the Third Proportional to 31,038.19 and 36,505.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31,038.19 : 36,505.69 = 36,505.69 : x
2. Step 2: Convert to fraction form
   31,038.19/36,505.69 = 36,505.69/x
3. Step 3: Cross multiply
   31,038.19x = 36,505.69 × 36,505.69
4. Step 4: Simplify right side
   31,038.19x = 1,332,665,219.85
5. Step 5: Solve for x
   x = 1,332,665,219.85/31,038.19
6. Step 6: Final answer
   x = 42,936.31