Finding the Third Proportional to 36,038.67 and 78,866.16

Step by Step Solution

1. Step 1: Write the proportion equation
   36,038.67 : 78,866.16 = 78,866.16 : x
2. Step 2: Convert to fraction form
   36,038.67/78,866.16 = 78,866.16/x
3. Step 3: Cross multiply
   36,038.67x = 78,866.16 × 78,866.16
4. Step 4: Simplify right side
   36,038.67x = 6,219,870,601.65
5. Step 5: Solve for x
   x = 6,219,870,601.65/36,038.67
6. Step 6: Final answer
   x = 172,588.79