Finding the Third Proportional to 23,192 and 49,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,192 : 49,663.50 = 49,663.50 : x
2. Step 2: Convert to fraction form
   23,192/49,663.50 = 49,663.50/x
3. Step 3: Cross multiply
   23,192x = 49,663.50 × 49,663.50
4. Step 4: Simplify right side
   23,192x = 2,466,463,232.25
5. Step 5: Solve for x
   x = 2,466,463,232.25/23,192
6. Step 6: Final answer
   x = 106,349.74