Finding the Third Proportional to 32,100 and 49,174

Step by Step Solution

1. Step 1: Write the proportion equation
   32,100 : 49,174 = 49,174 : x
2. Step 2: Convert to fraction form
   32,100/49,174 = 49,174/x
3. Step 3: Cross multiply
   32,100x = 49,174 × 49,174
4. Step 4: Simplify right side
   32,100x = 2,418,082,276
5. Step 5: Solve for x
   x = 2,418,082,276/32,100
6. Step 6: Final answer
   x = 75,329.67