Finding the Third Proportional to 42,612 and 64,509

Step by Step Solution

1. Step 1: Write the proportion equation
   42,612 : 64,509 = 64,509 : x
2. Step 2: Convert to fraction form
   42,612/64,509 = 64,509/x
3. Step 3: Cross multiply
   42,612x = 64,509 × 64,509
4. Step 4: Simplify right side
   42,612x = 4,161,411,081
5. Step 5: Solve for x
   x = 4,161,411,081/42,612
6. Step 6: Final answer
   x = 97,658.20