Finding the Third Proportional to 42,454 and 65,464

Step by Step Solution

1. Step 1: Write the proportion equation
   42,454 : 65,464 = 65,464 : x
2. Step 2: Convert to fraction form
   42,454/65,464 = 65,464/x
3. Step 3: Cross multiply
   42,454x = 65,464 × 65,464
4. Step 4: Simplify right side
   42,454x = 4,285,535,296
5. Step 5: Solve for x
   x = 4,285,535,296/42,454
6. Step 6: Final answer
   x = 100,945.38