Finding the Third Proportional to 32,906 and 52,191

Step by Step Solution

1. Step 1: Write the proportion equation
   32,906 : 52,191 = 52,191 : x
2. Step 2: Convert to fraction form
   32,906/52,191 = 52,191/x
3. Step 3: Cross multiply
   32,906x = 52,191 × 52,191
4. Step 4: Simplify right side
   32,906x = 2,723,900,481
5. Step 5: Solve for x
   x = 2,723,900,481/32,906
6. Step 6: Final answer
   x = 82,778.23