Finding the Third Proportional to 35,824 and 56,484

Step by Step Solution

1. Step 1: Write the proportion equation
   35,824 : 56,484 = 56,484 : x
2. Step 2: Convert to fraction form
   35,824/56,484 = 56,484/x
3. Step 3: Cross multiply
   35,824x = 56,484 × 56,484
4. Step 4: Simplify right side
   35,824x = 3,190,442,256
5. Step 5: Solve for x
   x = 3,190,442,256/35,824
6. Step 6: Final answer
   x = 89,058.79