Finding the Third Proportional to 31,718 and 49,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,718 : 49,392.50 = 49,392.50 : x
2. Step 2: Convert to fraction form
   31,718/49,392.50 = 49,392.50/x
3. Step 3: Cross multiply
   31,718x = 49,392.50 × 49,392.50
4. Step 4: Simplify right side
   31,718x = 2,439,619,056.25
5. Step 5: Solve for x
   x = 2,439,619,056.25/31,718
6. Step 6: Final answer
   x = 76,915.92