Finding the Third Proportional to 12,961 and 20,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,961 : 20,107.50 = 20,107.50 : x
2. Step 2: Convert to fraction form
   12,961/20,107.50 = 20,107.50/x
3. Step 3: Cross multiply
   12,961x = 20,107.50 × 20,107.50
4. Step 4: Simplify right side
   12,961x = 404,311,556.25
5. Step 5: Solve for x
   x = 404,311,556.25/12,961
6. Step 6: Final answer
   x = 31,194.47