Finding the Third Proportional to 24,279.75 and 31,964.63

Step by Step Solution

1. Step 1: Write the proportion equation
   24,279.75 : 31,964.63 = 31,964.63 : x
2. Step 2: Convert to fraction form
   24,279.75/31,964.63 = 31,964.63/x
3. Step 3: Cross multiply
   24,279.75x = 31,964.63 × 31,964.63
4. Step 4: Simplify right side
   24,279.75x = 1,021,737,251.39
5. Step 5: Solve for x
   x = 1,021,737,251.39/24,279.75
6. Step 6: Final answer
   x = 42,081.87