Finding the Third Proportional to 41,895 and 94,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,895 : 94,747.50 = 94,747.50 : x
2. Step 2: Convert to fraction form
   41,895/94,747.50 = 94,747.50/x
3. Step 3: Cross multiply
   41,895x = 94,747.50 × 94,747.50
4. Step 4: Simplify right side
   41,895x = 8,977,088,756.25
5. Step 5: Solve for x
   x = 8,977,088,756.25/41,895
6. Step 6: Final answer
   x = 214,275.90