Finding the Third Proportional to 42,537.75 and 65,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,537.75 : 65,293.50 = 65,293.50 : x
2. Step 2: Convert to fraction form
   42,537.75/65,293.50 = 65,293.50/x
3. Step 3: Cross multiply
   42,537.75x = 65,293.50 × 65,293.50
4. Step 4: Simplify right side
   42,537.75x = 4,263,241,142.25
5. Step 5: Solve for x
   x = 4,263,241,142.25/42,537.75
6. Step 6: Final answer
   x = 100,222.54