Finding the Third Proportional to 20,356 and 32,174

Step by Step Solution

1. Step 1: Write the proportion equation
   20,356 : 32,174 = 32,174 : x
2. Step 2: Convert to fraction form
   20,356/32,174 = 32,174/x
3. Step 3: Cross multiply
   20,356x = 32,174 × 32,174
4. Step 4: Simplify right side
   20,356x = 1,035,166,276
5. Step 5: Solve for x
   x = 1,035,166,276/20,356
6. Step 6: Final answer
   x = 50,853.13