Finding the Third Proportional to 36,819 and 55,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,819 : 55,642.50 = 55,642.50 : x
2. Step 2: Convert to fraction form
   36,819/55,642.50 = 55,642.50/x
3. Step 3: Cross multiply
   36,819x = 55,642.50 × 55,642.50
4. Step 4: Simplify right side
   36,819x = 3,096,087,806.25
5. Step 5: Solve for x
   x = 3,096,087,806.25/36,819
6. Step 6: Final answer
   x = 84,089.41