Finding the Third Proportional to 31,791 and 49,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,791 : 49,147.50 = 49,147.50 : x
2. Step 2: Convert to fraction form
   31,791/49,147.50 = 49,147.50/x
3. Step 3: Cross multiply
   31,791x = 49,147.50 × 49,147.50
4. Step 4: Simplify right side
   31,791x = 2,415,476,756.25
5. Step 5: Solve for x
   x = 2,415,476,756.25/31,791
6. Step 6: Final answer
   x = 75,979.89