Finding the Third Proportional to 37,944 and 59,526

Step by Step Solution

1. Step 1: Write the proportion equation
   37,944 : 59,526 = 59,526 : x
2. Step 2: Convert to fraction form
   37,944/59,526 = 59,526/x
3. Step 3: Cross multiply
   37,944x = 59,526 × 59,526
4. Step 4: Simplify right side
   37,944x = 3,543,344,676
5. Step 5: Solve for x
   x = 3,543,344,676/37,944
6. Step 6: Final answer
   x = 93,383.53