Finding the Third Proportional to 72,072 and 107,820

Step by Step Solution

1. Step 1: Write the proportion equation
   72,072 : 107,820 = 107,820 : x
2. Step 2: Convert to fraction form
   72,072/107,820 = 107,820/x
3. Step 3: Cross multiply
   72,072x = 107,820 × 107,820
4. Step 4: Simplify right side
   72,072x = 11,625,152,400
5. Step 5: Solve for x
   x = 11,625,152,400/72,072
6. Step 6: Final answer
   x = 161,299.15