Finding the Third Proportional to 32,967 and 68,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,967 : 68,485.50 = 68,485.50 : x
2. Step 2: Convert to fraction form
   32,967/68,485.50 = 68,485.50/x
3. Step 3: Cross multiply
   32,967x = 68,485.50 × 68,485.50
4. Step 4: Simplify right side
   32,967x = 4,690,263,710.25
5. Step 5: Solve for x
   x = 4,690,263,710.25/32,967
6. Step 6: Final answer
   x = 142,271.47