Finding the Third Proportional to 30,196 and 49,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,196 : 49,906.50 = 49,906.50 : x
2. Step 2: Convert to fraction form
   30,196/49,906.50 = 49,906.50/x
3. Step 3: Cross multiply
   30,196x = 49,906.50 × 49,906.50
4. Step 4: Simplify right side
   30,196x = 2,490,658,742.25
5. Step 5: Solve for x
   x = 2,490,658,742.25/30,196
6. Step 6: Final answer
   x = 82,483.07