Finding the Third Proportional to 40,627 and 64,876

Step by Step Solution

1. Step 1: Write the proportion equation
   40,627 : 64,876 = 64,876 : x
2. Step 2: Convert to fraction form
   40,627/64,876 = 64,876/x
3. Step 3: Cross multiply
   40,627x = 64,876 × 64,876
4. Step 4: Simplify right side
   40,627x = 4,208,895,376
5. Step 5: Solve for x
   x = 4,208,895,376/40,627
6. Step 6: Final answer
   x = 103,598.48