Finding the Third Proportional to 42,744 and 64,080

Step by Step Solution

1. Step 1: Write the proportion equation
   42,744 : 64,080 = 64,080 : x
2. Step 2: Convert to fraction form
   42,744/64,080 = 64,080/x
3. Step 3: Cross multiply
   42,744x = 64,080 × 64,080
4. Step 4: Simplify right side
   42,744x = 4,106,246,400
5. Step 5: Solve for x
   x = 4,106,246,400/42,744
6. Step 6: Final answer
   x = 96,066.03