Finding the Third Proportional to 38,895 and 85,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,895 : 85,321.50 = 85,321.50 : x
2. Step 2: Convert to fraction form
   38,895/85,321.50 = 85,321.50/x
3. Step 3: Cross multiply
   38,895x = 85,321.50 × 85,321.50
4. Step 4: Simplify right side
   38,895x = 7,279,758,362.25
5. Step 5: Solve for x
   x = 7,279,758,362.25/38,895
6. Step 6: Final answer
   x = 187,164.37