Finding the Third Proportional to 31,573 and 49,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,573 : 49,019.50 = 49,019.50 : x
2. Step 2: Convert to fraction form
   31,573/49,019.50 = 49,019.50/x
3. Step 3: Cross multiply
   31,573x = 49,019.50 × 49,019.50
4. Step 4: Simplify right side
   31,573x = 2,402,911,380.25
5. Step 5: Solve for x
   x = 2,402,911,380.25/31,573
6. Step 6: Final answer
   x = 76,106.53