Finding the Third Proportional to 38,211.19 and 82,981.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,211.19 : 82,981.69 = 82,981.69 : x
2. Step 2: Convert to fraction form
   38,211.19/82,981.69 = 82,981.69/x
3. Step 3: Cross multiply
   38,211.19x = 82,981.69 × 82,981.69
4. Step 4: Simplify right side
   38,211.19x = 6,885,960,460.35
5. Step 5: Solve for x
   x = 6,885,960,460.35/38,211.19
6. Step 6: Final answer
   x = 180,207.97