Finding the Third Proportional to 24,010 and 31,861

Step by Step Solution

1. Step 1: Write the proportion equation
   24,010 : 31,861 = 31,861 : x
2. Step 2: Convert to fraction form
   24,010/31,861 = 31,861/x
3. Step 3: Cross multiply
   24,010x = 31,861 × 31,861
4. Step 4: Simplify right side
   24,010x = 1,015,123,321
5. Step 5: Solve for x
   x = 1,015,123,321/24,010
6. Step 6: Final answer
   x = 42,279.19