Finding the Third Proportional to 31,456 and 49,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,456 : 49,087.50 = 49,087.50 : x
2. Step 2: Convert to fraction form
   31,456/49,087.50 = 49,087.50/x
3. Step 3: Cross multiply
   31,456x = 49,087.50 × 49,087.50
4. Step 4: Simplify right side
   31,456x = 2,409,582,656.25
5. Step 5: Solve for x
   x = 2,409,582,656.25/31,456
6. Step 6: Final answer
   x = 76,601.69