Finding the Third Proportional to 49,275 and 76,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,275 : 76,099.50 = 76,099.50 : x
2. Step 2: Convert to fraction form
   49,275/76,099.50 = 76,099.50/x
3. Step 3: Cross multiply
   49,275x = 76,099.50 × 76,099.50
4. Step 4: Simplify right side
   49,275x = 5,791,133,900.25
5. Step 5: Solve for x
   x = 5,791,133,900.25/49,275
6. Step 6: Final answer
   x = 117,526.82