Finding the Third Proportional to 42,378 and 64,707

Step by Step Solution

1. Step 1: Write the proportion equation
   42,378 : 64,707 = 64,707 : x
2. Step 2: Convert to fraction form
   42,378/64,707 = 64,707/x
3. Step 3: Cross multiply
   42,378x = 64,707 × 64,707
4. Step 4: Simplify right side
   42,378x = 4,186,995,849
5. Step 5: Solve for x
   x = 4,186,995,849/42,378
6. Step 6: Final answer
   x = 98,801.17