Finding the Third Proportional to 32,454 and 49,032

Step by Step Solution

1. Step 1: Write the proportion equation
   32,454 : 49,032 = 49,032 : x
2. Step 2: Convert to fraction form
   32,454/49,032 = 49,032/x
3. Step 3: Cross multiply
   32,454x = 49,032 × 49,032
4. Step 4: Simplify right side
   32,454x = 2,404,137,024
5. Step 5: Solve for x
   x = 2,404,137,024/32,454
6. Step 6: Final answer
   x = 74,078.30