Finding the Third Proportional to 41,506 and 64,375

Step by Step Solution

1. Step 1: Write the proportion equation
   41,506 : 64,375 = 64,375 : x
2. Step 2: Convert to fraction form
   41,506/64,375 = 64,375/x
3. Step 3: Cross multiply
   41,506x = 64,375 × 64,375
4. Step 4: Simplify right side
   41,506x = 4,144,140,625
5. Step 5: Solve for x
   x = 4,144,140,625/41,506
6. Step 6: Final answer
   x = 99,844.37