Finding the Third Proportional to 13,426.88 and 31,582.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,426.88 : 31,582.69 = 31,582.69 : x
2. Step 2: Convert to fraction form
   13,426.88/31,582.69 = 31,582.69/x
3. Step 3: Cross multiply
   13,426.88x = 31,582.69 × 31,582.69
4. Step 4: Simplify right side
   13,426.88x = 997,466,149.72
5. Step 5: Solve for x
   x = 997,466,149.72/13,426.88
6. Step 6: Final answer
   x = 74,288.78