Finding the Third Proportional to 32,105.50 and 68,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,105.50 : 68,662.50 = 68,662.50 : x
2. Step 2: Convert to fraction form
   32,105.50/68,662.50 = 68,662.50/x
3. Step 3: Cross multiply
   32,105.50x = 68,662.50 × 68,662.50
4. Step 4: Simplify right side
   32,105.50x = 4,714,538,906.25
5. Step 5: Solve for x
   x = 4,714,538,906.25/32,105.50
6. Step 6: Final answer
   x = 146,845.21