Finding the Third Proportional to 33,192 and 49,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,192 : 49,792.50 = 49,792.50 : x
2. Step 2: Convert to fraction form
   33,192/49,792.50 = 49,792.50/x
3. Step 3: Cross multiply
   33,192x = 49,792.50 × 49,792.50
4. Step 4: Simplify right side
   33,192x = 2,479,293,056.25
5. Step 5: Solve for x
   x = 2,479,293,056.25/33,192
6. Step 6: Final answer
   x = 74,695.50