Finding the Third Proportional to 19,507.50 and 31,407.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,507.50 : 31,407.75 = 31,407.75 : x
2. Step 2: Convert to fraction form
   19,507.50/31,407.75 = 31,407.75/x
3. Step 3: Cross multiply
   19,507.50x = 31,407.75 × 31,407.75
4. Step 4: Simplify right side
   19,507.50x = 986,446,760.06
5. Step 5: Solve for x
   x = 986,446,760.06/19,507.50
6. Step 6: Final answer
   x = 50,567.56