Finding the Third Proportional to 23,709 and 31,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,709 : 31,817.50 = 31,817.50 : x
2. Step 2: Convert to fraction form
   23,709/31,817.50 = 31,817.50/x
3. Step 3: Cross multiply
   23,709x = 31,817.50 × 31,817.50
4. Step 4: Simplify right side
   23,709x = 1,012,353,306.25
5. Step 5: Solve for x
   x = 1,012,353,306.25/23,709
6. Step 6: Final answer
   x = 42,699.11