Finding the Third Proportional to 42,566 and 64,441

Step by Step Solution

1. Step 1: Write the proportion equation
   42,566 : 64,441 = 64,441 : x
2. Step 2: Convert to fraction form
   42,566/64,441 = 64,441/x
3. Step 3: Cross multiply
   42,566x = 64,441 × 64,441
4. Step 4: Simplify right side
   42,566x = 4,152,642,481
5. Step 5: Solve for x
   x = 4,152,642,481/42,566
6. Step 6: Final answer
   x = 97,557.73