Finding the Third Proportional to 38,981.72 and 82,038.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,981.72 : 82,038.56 = 82,038.56 : x
2. Step 2: Convert to fraction form
   38,981.72/82,038.56 = 82,038.56/x
3. Step 3: Cross multiply
   38,981.72x = 82,038.56 × 82,038.56
4. Step 4: Simplify right side
   38,981.72x = 6,730,325,737.07
5. Step 5: Solve for x
   x = 6,730,325,737.07/38,981.72
6. Step 6: Final answer
   x = 172,653.39