Finding the Third Proportional to 19,777.50 and 31,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,777.50 : 31,090.50 = 31,090.50 : x
2. Step 2: Convert to fraction form
   19,777.50/31,090.50 = 31,090.50/x
3. Step 3: Cross multiply
   19,777.50x = 31,090.50 × 31,090.50
4. Step 4: Simplify right side
   19,777.50x = 966,619,190.25
5. Step 5: Solve for x
   x = 966,619,190.25/19,777.50
6. Step 6: Final answer
   x = 48,874.69