Finding the Third Proportional to 32,185 and 51,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,185 : 51,213.50 = 51,213.50 : x
2. Step 2: Convert to fraction form
   32,185/51,213.50 = 51,213.50/x
3. Step 3: Cross multiply
   32,185x = 51,213.50 × 51,213.50
4. Step 4: Simplify right side
   32,185x = 2,622,822,582.25
5. Step 5: Solve for x
   x = 2,622,822,582.25/32,185
6. Step 6: Final answer
   x = 81,492.08