Finding the Third Proportional to 12,440 and 19,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,440 : 19,697.50 = 19,697.50 : x
2. Step 2: Convert to fraction form
   12,440/19,697.50 = 19,697.50/x
3. Step 3: Cross multiply
   12,440x = 19,697.50 × 19,697.50
4. Step 4: Simplify right side
   12,440x = 387,991,506.25
5. Step 5: Solve for x
   x = 387,991,506.25/12,440
6. Step 6: Final answer
   x = 31,189.03