Finding the Third Proportional to 32,172 and 49,195

Step by Step Solution

1. Step 1: Write the proportion equation
   32,172 : 49,195 = 49,195 : x
2. Step 2: Convert to fraction form
   32,172/49,195 = 49,195/x
3. Step 3: Cross multiply
   32,172x = 49,195 × 49,195
4. Step 4: Simplify right side
   32,172x = 2,420,148,025
5. Step 5: Solve for x
   x = 2,420,148,025/32,172
6. Step 6: Final answer
   x = 75,225.29