Finding the Third Proportional to 40,146 and 64,128

Step by Step Solution

1. Step 1: Write the proportion equation
   40,146 : 64,128 = 64,128 : x
2. Step 2: Convert to fraction form
   40,146/64,128 = 64,128/x
3. Step 3: Cross multiply
   40,146x = 64,128 × 64,128
4. Step 4: Simplify right side
   40,146x = 4,112,400,384
5. Step 5: Solve for x
   x = 4,112,400,384/40,146
6. Step 6: Final answer
   x = 102,436.12