Finding the Third Proportional to 13,140.38 and 20,402.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,140.38 : 20,402.63 = 20,402.63 : x
2. Step 2: Convert to fraction form
   13,140.38/20,402.63 = 20,402.63/x
3. Step 3: Cross multiply
   13,140.38x = 20,402.63 × 20,402.63
4. Step 4: Simplify right side
   13,140.38x = 416,267,106.89
5. Step 5: Solve for x
   x = 416,267,106.89/13,140.38
6. Step 6: Final answer
   x = 31,678.48