Finding the Third Proportional to 20,850 and 31,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,850 : 31,186.50 = 31,186.50 : x
2. Step 2: Convert to fraction form
   20,850/31,186.50 = 31,186.50/x
3. Step 3: Cross multiply
   20,850x = 31,186.50 × 31,186.50
4. Step 4: Simplify right side
   20,850x = 972,597,782.25
5. Step 5: Solve for x
   x = 972,597,782.25/20,850
6. Step 6: Final answer
   x = 46,647.38