Finding the Third Proportional to 37,602 and 81,760

Step by Step Solution

1. Step 1: Write the proportion equation
   37,602 : 81,760 = 81,760 : x
2. Step 2: Convert to fraction form
   37,602/81,760 = 81,760/x
3. Step 3: Cross multiply
   37,602x = 81,760 × 81,760
4. Step 4: Simplify right side
   37,602x = 6,684,697,600
5. Step 5: Solve for x
   x = 6,684,697,600/37,602
6. Step 6: Final answer
   x = 177,775.05