Finding the Third Proportional to 37,434 and 81,789

Step by Step Solution

1. Step 1: Write the proportion equation
   37,434 : 81,789 = 81,789 : x
2. Step 2: Convert to fraction form
   37,434/81,789 = 81,789/x
3. Step 3: Cross multiply
   37,434x = 81,789 × 81,789
4. Step 4: Simplify right side
   37,434x = 6,689,440,521
5. Step 5: Solve for x
   x = 6,689,440,521/37,434
6. Step 6: Final answer
   x = 178,699.59