Finding the Third Proportional to 42,174 and 65,022.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,174 : 65,022.75 = 65,022.75 : x
2. Step 2: Convert to fraction form
   42,174/65,022.75 = 65,022.75/x
3. Step 3: Cross multiply
   42,174x = 65,022.75 × 65,022.75
4. Step 4: Simplify right side
   42,174x = 4,227,958,017.56
5. Step 5: Solve for x
   x = 4,227,958,017.56/42,174
6. Step 6: Final answer
   x = 100,250.34