Finding the Third Proportional to 32,844 and 68,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,844 : 68,023.50 = 68,023.50 : x
2. Step 2: Convert to fraction form
   32,844/68,023.50 = 68,023.50/x
3. Step 3: Cross multiply
   32,844x = 68,023.50 × 68,023.50
4. Step 4: Simplify right side
   32,844x = 4,627,196,552.25
5. Step 5: Solve for x
   x = 4,627,196,552.25/32,844
6. Step 6: Final answer
   x = 140,884.07