Finding the Third Proportional to 32,983.50 and 64,327

Step by Step Solution

1. Step 1: Write the proportion equation
   32,983.50 : 64,327 = 64,327 : x
2. Step 2: Convert to fraction form
   32,983.50/64,327 = 64,327/x
3. Step 3: Cross multiply
   32,983.50x = 64,327 × 64,327
4. Step 4: Simplify right side
   32,983.50x = 4,137,962,929
5. Step 5: Solve for x
   x = 4,137,962,929/32,983.50
6. Step 6: Final answer
   x = 125,455.54