Finding the Third Proportional to 31,659 and 49,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,659 : 49,018.50 = 49,018.50 : x
2. Step 2: Convert to fraction form
   31,659/49,018.50 = 49,018.50/x
3. Step 3: Cross multiply
   31,659x = 49,018.50 × 49,018.50
4. Step 4: Simplify right side
   31,659x = 2,402,813,342.25
5. Step 5: Solve for x
   x = 2,402,813,342.25/31,659
6. Step 6: Final answer
   x = 75,896.69