Finding the Third Proportional to 35,744 and 59,232

Step by Step Solution

1. Step 1: Write the proportion equation
   35,744 : 59,232 = 59,232 : x
2. Step 2: Convert to fraction form
   35,744/59,232 = 59,232/x
3. Step 3: Cross multiply
   35,744x = 59,232 × 59,232
4. Step 4: Simplify right side
   35,744x = 3,508,429,824
5. Step 5: Solve for x
   x = 3,508,429,824/35,744
6. Step 6: Final answer
   x = 98,154.37