Finding the Third Proportional to 14,820 and 34,984

Step by Step Solution

1. Step 1: Write the proportion equation
   14,820 : 34,984 = 34,984 : x
2. Step 2: Convert to fraction form
   14,820/34,984 = 34,984/x
3. Step 3: Cross multiply
   14,820x = 34,984 × 34,984
4. Step 4: Simplify right side
   14,820x = 1,223,880,256
5. Step 5: Solve for x
   x = 1,223,880,256/14,820
6. Step 6: Final answer
   x = 82,583.01