Finding the Third Proportional to 41,748 and 64,654

Step by Step Solution

1. Step 1: Write the proportion equation
   41,748 : 64,654 = 64,654 : x
2. Step 2: Convert to fraction form
   41,748/64,654 = 64,654/x
3. Step 3: Cross multiply
   41,748x = 64,654 × 64,654
4. Step 4: Simplify right side
   41,748x = 4,180,139,716
5. Step 5: Solve for x
   x = 4,180,139,716/41,748
6. Step 6: Final answer
   x = 100,127.90