Finding the Third Proportional to 20,538.75 and 31,678.88

Step by Step Solution

1. Step 1: Write the proportion equation
   20,538.75 : 31,678.88 = 31,678.88 : x
2. Step 2: Convert to fraction form
   20,538.75/31,678.88 = 31,678.88/x
3. Step 3: Cross multiply
   20,538.75x = 31,678.88 × 31,678.88
4. Step 4: Simplify right side
   20,538.75x = 1,003,551,121.27
5. Step 5: Solve for x
   x = 1,003,551,121.27/20,538.75
6. Step 6: Final answer
   x = 48,861.35