Finding the Third Proportional to 42,390 and 65,533

Step by Step Solution

1. Step 1: Write the proportion equation
   42,390 : 65,533 = 65,533 : x
2. Step 2: Convert to fraction form
   42,390/65,533 = 65,533/x
3. Step 3: Cross multiply
   42,390x = 65,533 × 65,533
4. Step 4: Simplify right side
   42,390x = 4,294,574,089
5. Step 5: Solve for x
   x = 4,294,574,089/42,390
6. Step 6: Final answer
   x = 101,311.02