Finding the Third Proportional to 37,925 and 82,762

Step by Step Solution

1. Step 1: Write the proportion equation
   37,925 : 82,762 = 82,762 : x
2. Step 2: Convert to fraction form
   37,925/82,762 = 82,762/x
3. Step 3: Cross multiply
   37,925x = 82,762 × 82,762
4. Step 4: Simplify right side
   37,925x = 6,849,548,644
5. Step 5: Solve for x
   x = 6,849,548,644/37,925
6. Step 6: Final answer
   x = 180,607.74