Finding the Third Proportional to 32,840 and 72,038

Step by Step Solution

1. Step 1: Write the proportion equation
   32,840 : 72,038 = 72,038 : x
2. Step 2: Convert to fraction form
   32,840/72,038 = 72,038/x
3. Step 3: Cross multiply
   32,840x = 72,038 × 72,038
4. Step 4: Simplify right side
   32,840x = 5,189,473,444
5. Step 5: Solve for x
   x = 5,189,473,444/32,840
6. Step 6: Final answer
   x = 158,022.94