Finding the Third Proportional to 42,455 and 64,655

Step by Step Solution

1. Step 1: Write the proportion equation
   42,455 : 64,655 = 64,655 : x
2. Step 2: Convert to fraction form
   42,455/64,655 = 64,655/x
3. Step 3: Cross multiply
   42,455x = 64,655 × 64,655
4. Step 4: Simplify right side
   42,455x = 4,180,269,025
5. Step 5: Solve for x
   x = 4,180,269,025/42,455
6. Step 6: Final answer
   x = 98,463.53