Finding the Third Proportional to 37,897.63 and 82,518.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,897.63 : 82,518.63 = 82,518.63 : x
2. Step 2: Convert to fraction form
   37,897.63/82,518.63 = 82,518.63/x
3. Step 3: Cross multiply
   37,897.63x = 82,518.63 × 82,518.63
4. Step 4: Simplify right side
   37,897.63x = 6,809,323,471.89
5. Step 5: Solve for x
   x = 6,809,323,471.89/37,897.63
6. Step 6: Final answer
   x = 179,676.79