Finding the Third Proportional to 33,942 and 49,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,942 : 49,927.50 = 49,927.50 : x
2. Step 2: Convert to fraction form
   33,942/49,927.50 = 49,927.50/x
3. Step 3: Cross multiply
   33,942x = 49,927.50 × 49,927.50
4. Step 4: Simplify right side
   33,942x = 2,492,755,256.25
5. Step 5: Solve for x
   x = 2,492,755,256.25/33,942
6. Step 6: Final answer
   x = 73,441.61