Finding the Third Proportional to 20,970 and 32,185

Step by Step Solution

1. Step 1: Write the proportion equation
   20,970 : 32,185 = 32,185 : x
2. Step 2: Convert to fraction form
   20,970/32,185 = 32,185/x
3. Step 3: Cross multiply
   20,970x = 32,185 × 32,185
4. Step 4: Simplify right side
   20,970x = 1,035,874,225
5. Step 5: Solve for x
   x = 1,035,874,225/20,970
6. Step 6: Final answer
   x = 49,397.91