Finding the Third Proportional to 13,770 and 20,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 20,713.50 = 20,713.50 : x
2. Step 2: Convert to fraction form
   13,770/20,713.50 = 20,713.50/x
3. Step 3: Cross multiply
   13,770x = 20,713.50 × 20,713.50
4. Step 4: Simplify right side
   13,770x = 429,049,082.25
5. Step 5: Solve for x
   x = 429,049,082.25/13,770
6. Step 6: Final answer
   x = 31,158.25