Finding the Third Proportional to 37,824.75 and 82,302.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37,824.75 : 82,302.94 = 82,302.94 : x
2. Step 2: Convert to fraction form
   37,824.75/82,302.94 = 82,302.94/x
3. Step 3: Cross multiply
   37,824.75x = 82,302.94 × 82,302.94
4. Step 4: Simplify right side
   37,824.75x = 6,773,773,521.13
5. Step 5: Solve for x
   x = 6,773,773,521.13/37,824.75
6. Step 6: Final answer
   x = 179,083.10