Finding the Third Proportional to 42,598 and 64,494

Step by Step Solution

1. Step 1: Write the proportion equation
   42,598 : 64,494 = 64,494 : x
2. Step 2: Convert to fraction form
   42,598/64,494 = 64,494/x
3. Step 3: Cross multiply
   42,598x = 64,494 × 64,494
4. Step 4: Simplify right side
   42,598x = 4,159,476,036
5. Step 5: Solve for x
   x = 4,159,476,036/42,598
6. Step 6: Final answer
   x = 97,644.87