Finding the Third Proportional to 32,585 and 71,003

Step by Step Solution

1. Step 1: Write the proportion equation
   32,585 : 71,003 = 71,003 : x
2. Step 2: Convert to fraction form
   32,585/71,003 = 71,003/x
3. Step 3: Cross multiply
   32,585x = 71,003 × 71,003
4. Step 4: Simplify right side
   32,585x = 5,041,426,009
5. Step 5: Solve for x
   x = 5,041,426,009/32,585
6. Step 6: Final answer
   x = 154,716.16