Finding the Third Proportional to 32,832 and 48,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,832 : 48,083.50 = 48,083.50 : x
2. Step 2: Convert to fraction form
   32,832/48,083.50 = 48,083.50/x
3. Step 3: Cross multiply
   32,832x = 48,083.50 × 48,083.50
4. Step 4: Simplify right side
   32,832x = 2,312,022,972.25
5. Step 5: Solve for x
   x = 2,312,022,972.25/32,832
6. Step 6: Final answer
   x = 70,419.80