Finding the Third Proportional to 20,091 and 31,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,091 : 31,837.50 = 31,837.50 : x
2. Step 2: Convert to fraction form
   20,091/31,837.50 = 31,837.50/x
3. Step 3: Cross multiply
   20,091x = 31,837.50 × 31,837.50
4. Step 4: Simplify right side
   20,091x = 1,013,626,406.25
5. Step 5: Solve for x
   x = 1,013,626,406.25/20,091
6. Step 6: Final answer
   x = 50,451.76