Finding the Third Proportional to 38,354 and 83,680.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,354 : 83,680.75 = 83,680.75 : x
2. Step 2: Convert to fraction form
   38,354/83,680.75 = 83,680.75/x
3. Step 3: Cross multiply
   38,354x = 83,680.75 × 83,680.75
4. Step 4: Simplify right side
   38,354x = 7,002,467,920.56
5. Step 5: Solve for x
   x = 7,002,467,920.56/38,354
6. Step 6: Final answer
   x = 182,574.64