Finding the Third Proportional to 33,706.50 and 50,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,706.50 : 50,977.50 = 50,977.50 : x
2. Step 2: Convert to fraction form
   33,706.50/50,977.50 = 50,977.50/x
3. Step 3: Cross multiply
   33,706.50x = 50,977.50 × 50,977.50
4. Step 4: Simplify right side
   33,706.50x = 2,598,705,506.25
5. Step 5: Solve for x
   x = 2,598,705,506.25/33,706.50
6. Step 6: Final answer
   x = 77,098.05