Finding the Third Proportional to 20,878.50 and 31,316.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,878.50 : 31,316.25 = 31,316.25 : x
2. Step 2: Convert to fraction form
   20,878.50/31,316.25 = 31,316.25/x
3. Step 3: Cross multiply
   20,878.50x = 31,316.25 × 31,316.25
4. Step 4: Simplify right side
   20,878.50x = 980,707,514.06
5. Step 5: Solve for x
   x = 980,707,514.06/20,878.50
6. Step 6: Final answer
   x = 46,972.13