Finding the Third Proportional to 29,947.50 and 49,914

Step by Step Solution

1. Step 1: Write the proportion equation
   29,947.50 : 49,914 = 49,914 : x
2. Step 2: Convert to fraction form
   29,947.50/49,914 = 49,914/x
3. Step 3: Cross multiply
   29,947.50x = 49,914 × 49,914
4. Step 4: Simplify right side
   29,947.50x = 2,491,407,396
5. Step 5: Solve for x
   x = 2,491,407,396/29,947.50
6. Step 6: Final answer
   x = 83,192.50