Finding the Third Proportional to 38,103 and 82,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,103 : 82,994.50 = 82,994.50 : x
2. Step 2: Convert to fraction form
   38,103/82,994.50 = 82,994.50/x
3. Step 3: Cross multiply
   38,103x = 82,994.50 × 82,994.50
4. Step 4: Simplify right side
   38,103x = 6,888,087,030.25
5. Step 5: Solve for x
   x = 6,888,087,030.25/38,103
6. Step 6: Final answer
   x = 180,775.45