Finding the Third Proportional to 42,381 and 65,664.56

Step by Step Solution

1. Step 1: Write the proportion equation
   42,381 : 65,664.56 = 65,664.56 : x
2. Step 2: Convert to fraction form
   42,381/65,664.56 = 65,664.56/x
3. Step 3: Cross multiply
   42,381x = 65,664.56 × 65,664.56
4. Step 4: Simplify right side
   42,381x = 4,311,834,768.32
5. Step 5: Solve for x
   x = 4,311,834,768.32/42,381
6. Step 6: Final answer
   x = 101,739.81