Finding the Third Proportional to 42,377.50 and 57,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,377.50 : 57,553.50 = 57,553.50 : x
2. Step 2: Convert to fraction form
   42,377.50/57,553.50 = 57,553.50/x
3. Step 3: Cross multiply
   42,377.50x = 57,553.50 × 57,553.50
4. Step 4: Simplify right side
   42,377.50x = 3,312,405,362.25
5. Step 5: Solve for x
   x = 3,312,405,362.25/42,377.50
6. Step 6: Final answer
   x = 78,164.25