Finding the Third Proportional to 37,729 and 82,658

Step by Step Solution

1. Step 1: Write the proportion equation
   37,729 : 82,658 = 82,658 : x
2. Step 2: Convert to fraction form
   37,729/82,658 = 82,658/x
3. Step 3: Cross multiply
   37,729x = 82,658 × 82,658
4. Step 4: Simplify right side
   37,729x = 6,832,344,964
5. Step 5: Solve for x
   x = 6,832,344,964/37,729
6. Step 6: Final answer
   x = 181,090.01