Finding the Third Proportional to 32,644 and 35,560

Step by Step Solution

1. Step 1: Write the proportion equation
   32,644 : 35,560 = 35,560 : x
2. Step 2: Convert to fraction form
   32,644/35,560 = 35,560/x
3. Step 3: Cross multiply
   32,644x = 35,560 × 35,560
4. Step 4: Simplify right side
   32,644x = 1,264,513,600
5. Step 5: Solve for x
   x = 1,264,513,600/32,644
6. Step 6: Final answer
   x = 38,736.48