Finding the Third Proportional to 37,118.25 and 82,517.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,118.25 : 82,517.06 = 82,517.06 : x
2. Step 2: Convert to fraction form
   37,118.25/82,517.06 = 82,517.06/x
3. Step 3: Cross multiply
   37,118.25x = 82,517.06 × 82,517.06
4. Step 4: Simplify right side
   37,118.25x = 6,809,065,603.63
5. Step 5: Solve for x
   x = 6,809,065,603.63/37,118.25
6. Step 6: Final answer
   x = 183,442.53