Finding the Third Proportional to 32,714 and 51,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,714 : 51,885.50 = 51,885.50 : x
2. Step 2: Convert to fraction form
   32,714/51,885.50 = 51,885.50/x
3. Step 3: Cross multiply
   32,714x = 51,885.50 × 51,885.50
4. Step 4: Simplify right side
   32,714x = 2,692,105,110.25
5. Step 5: Solve for x
   x = 2,692,105,110.25/32,714
6. Step 6: Final answer
   x = 82,292.14