Finding the Third Proportional to 40,848 and 64,191

Step by Step Solution

1. Step 1: Write the proportion equation
   40,848 : 64,191 = 64,191 : x
2. Step 2: Convert to fraction form
   40,848/64,191 = 64,191/x
3. Step 3: Cross multiply
   40,848x = 64,191 × 64,191
4. Step 4: Simplify right side
   40,848x = 4,120,484,481
5. Step 5: Solve for x
   x = 4,120,484,481/40,848
6. Step 6: Final answer
   x = 100,873.59