Finding the Third Proportional to 41,775 and 64,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,775 : 64,656.50 = 64,656.50 : x
2. Step 2: Convert to fraction form
   41,775/64,656.50 = 64,656.50/x
3. Step 3: Cross multiply
   41,775x = 64,656.50 × 64,656.50
4. Step 4: Simplify right side
   41,775x = 4,180,462,992.25
5. Step 5: Solve for x
   x = 4,180,462,992.25/41,775
6. Step 6: Final answer
   x = 100,070.93