Finding the Third Proportional to 32,606 and 51,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,606 : 51,827.25 = 51,827.25 : x
2. Step 2: Convert to fraction form
   32,606/51,827.25 = 51,827.25/x
3. Step 3: Cross multiply
   32,606x = 51,827.25 × 51,827.25
4. Step 4: Simplify right side
   32,606x = 2,686,063,842.56
5. Step 5: Solve for x
   x = 2,686,063,842.56/32,606
6. Step 6: Final answer
   x = 82,379.43