Finding the Third Proportional to 19,192 and 41,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,192 : 41,662.50 = 41,662.50 : x
2. Step 2: Convert to fraction form
   19,192/41,662.50 = 41,662.50/x
3. Step 3: Cross multiply
   19,192x = 41,662.50 × 41,662.50
4. Step 4: Simplify right side
   19,192x = 1,735,763,906.25
5. Step 5: Solve for x
   x = 1,735,763,906.25/19,192
6. Step 6: Final answer
   x = 90,442.05