Finding the Third Proportional to 54,819 and 74,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,819 : 74,281.50 = 74,281.50 : x
2. Step 2: Convert to fraction form
   54,819/74,281.50 = 74,281.50/x
3. Step 3: Cross multiply
   54,819x = 74,281.50 × 74,281.50
4. Step 4: Simplify right side
   54,819x = 5,517,741,242.25
5. Step 5: Solve for x
   x = 5,517,741,242.25/54,819
6. Step 6: Final answer
   x = 100,653.81