Finding the Third Proportional to 41,506 and 64,374

Step by Step Solution

1. Step 1: Write the proportion equation
   41,506 : 64,374 = 64,374 : x
2. Step 2: Convert to fraction form
   41,506/64,374 = 64,374/x
3. Step 3: Cross multiply
   41,506x = 64,374 × 64,374
4. Step 4: Simplify right side
   41,506x = 4,144,011,876
5. Step 5: Solve for x
   x = 4,144,011,876/41,506
6. Step 6: Final answer
   x = 99,841.27