Finding the Third Proportional to 42,574 and 64,454

Step by Step Solution

1. Step 1: Write the proportion equation
   42,574 : 64,454 = 64,454 : x
2. Step 2: Convert to fraction form
   42,574/64,454 = 64,454/x
3. Step 3: Cross multiply
   42,574x = 64,454 × 64,454
4. Step 4: Simplify right side
   42,574x = 4,154,318,116
5. Step 5: Solve for x
   x = 4,154,318,116/42,574
6. Step 6: Final answer
   x = 97,578.76