Finding the Third Proportional to 33,777 and 50,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,777 : 50,476.50 = 50,476.50 : x
2. Step 2: Convert to fraction form
   33,777/50,476.50 = 50,476.50/x
3. Step 3: Cross multiply
   33,777x = 50,476.50 × 50,476.50
4. Step 4: Simplify right side
   33,777x = 2,547,877,052.25
5. Step 5: Solve for x
   x = 2,547,877,052.25/33,777
6. Step 6: Final answer
   x = 75,432.31