Finding the Third Proportional to 30,642 and 49,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,642 : 49,162.50 = 49,162.50 : x
2. Step 2: Convert to fraction form
   30,642/49,162.50 = 49,162.50/x
3. Step 3: Cross multiply
   30,642x = 49,162.50 × 49,162.50
4. Step 4: Simplify right side
   30,642x = 2,416,951,406.25
5. Step 5: Solve for x
   x = 2,416,951,406.25/30,642
6. Step 6: Final answer
   x = 78,877.08