Finding the Third Proportional to 42,032 and 65,080

Step by Step Solution

1. Step 1: Write the proportion equation
   42,032 : 65,080 = 65,080 : x
2. Step 2: Convert to fraction form
   42,032/65,080 = 65,080/x
3. Step 3: Cross multiply
   42,032x = 65,080 × 65,080
4. Step 4: Simplify right side
   42,032x = 4,235,406,400
5. Step 5: Solve for x
   x = 4,235,406,400/42,032
6. Step 6: Final answer
   x = 100,766.24