Finding the Third Proportional to 42,578 and 64,457

Step by Step Solution

1. Step 1: Write the proportion equation
   42,578 : 64,457 = 64,457 : x
2. Step 2: Convert to fraction form
   42,578/64,457 = 64,457/x
3. Step 3: Cross multiply
   42,578x = 64,457 × 64,457
4. Step 4: Simplify right side
   42,578x = 4,154,704,849
5. Step 5: Solve for x
   x = 4,154,704,849/42,578
6. Step 6: Final answer
   x = 97,578.68