Finding the Third Proportional to 32,024.63 and 68,206.88

Step by Step Solution

1. Step 1: Write the proportion equation
   32,024.63 : 68,206.88 = 68,206.88 : x
2. Step 2: Convert to fraction form
   32,024.63/68,206.88 = 68,206.88/x
3. Step 3: Cross multiply
   32,024.63x = 68,206.88 × 68,206.88
4. Step 4: Simplify right side
   32,024.63x = 4,652,177,797.27
5. Step 5: Solve for x
   x = 4,652,177,797.27/32,024.63
6. Step 6: Final answer
   x = 145,268.77