Finding the Third Proportional to 37,832 and 55,702

Step by Step Solution

1. Step 1: Write the proportion equation
   37,832 : 55,702 = 55,702 : x
2. Step 2: Convert to fraction form
   37,832/55,702 = 55,702/x
3. Step 3: Cross multiply
   37,832x = 55,702 × 55,702
4. Step 4: Simplify right side
   37,832x = 3,102,712,804
5. Step 5: Solve for x
   x = 3,102,712,804/37,832
6. Step 6: Final answer
   x = 82,012.92