Finding the Third Proportional to 14,640 and 30,657

Step by Step Solution

1. Step 1: Write the proportion equation
   14,640 : 30,657 = 30,657 : x
2. Step 2: Convert to fraction form
   14,640/30,657 = 30,657/x
3. Step 3: Cross multiply
   14,640x = 30,657 × 30,657
4. Step 4: Simplify right side
   14,640x = 939,851,649
5. Step 5: Solve for x
   x = 939,851,649/14,640
6. Step 6: Final answer
   x = 64,197.52