Finding the Third Proportional to 13,567 and 32,783

Step by Step Solution

1. Step 1: Write the proportion equation
   13,567 : 32,783 = 32,783 : x
2. Step 2: Convert to fraction form
   13,567/32,783 = 32,783/x
3. Step 3: Cross multiply
   13,567x = 32,783 × 32,783
4. Step 4: Simplify right side
   13,567x = 1,074,725,089
5. Step 5: Solve for x
   x = 1,074,725,089/13,567
6. Step 6: Final answer
   x = 79,216.12