Finding the Third Proportional to 35,456 and 52,032

Step by Step Solution

1. Step 1: Write the proportion equation
   35,456 : 52,032 = 52,032 : x
2. Step 2: Convert to fraction form
   35,456/52,032 = 52,032/x
3. Step 3: Cross multiply
   35,456x = 52,032 × 52,032
4. Step 4: Simplify right side
   35,456x = 2,707,329,024
5. Step 5: Solve for x
   x = 2,707,329,024/35,456
6. Step 6: Final answer
   x = 76,357.43