Finding the Third Proportional to 42,596 and 64,485

Step by Step Solution

1. Step 1: Write the proportion equation
   42,596 : 64,485 = 64,485 : x
2. Step 2: Convert to fraction form
   42,596/64,485 = 64,485/x
3. Step 3: Cross multiply
   42,596x = 64,485 × 64,485
4. Step 4: Simplify right side
   42,596x = 4,158,315,225
5. Step 5: Solve for x
   x = 4,158,315,225/42,596
6. Step 6: Final answer
   x = 97,622.20