Finding the Third Proportional to 32,814 and 68,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,814 : 68,746.50 = 68,746.50 : x
2. Step 2: Convert to fraction form
   32,814/68,746.50 = 68,746.50/x
3. Step 3: Cross multiply
   32,814x = 68,746.50 × 68,746.50
4. Step 4: Simplify right side
   32,814x = 4,726,081,262.25
5. Step 5: Solve for x
   x = 4,726,081,262.25/32,814
6. Step 6: Final answer
   x = 144,026.37