Finding the Third Proportional to 32,172 and 49,506

Step by Step Solution

1. Step 1: Write the proportion equation
   32,172 : 49,506 = 49,506 : x
2. Step 2: Convert to fraction form
   32,172/49,506 = 49,506/x
3. Step 3: Cross multiply
   32,172x = 49,506 × 49,506
4. Step 4: Simplify right side
   32,172x = 2,450,844,036
5. Step 5: Solve for x
   x = 2,450,844,036/32,172
6. Step 6: Final answer
   x = 76,179.41