Finding the Third Proportional to 37,703.63 and 82,878.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,703.63 : 82,878.75 = 82,878.75 : x
2. Step 2: Convert to fraction form
   37,703.63/82,878.75 = 82,878.75/x
3. Step 3: Cross multiply
   37,703.63x = 82,878.75 × 82,878.75
4. Step 4: Simplify right side
   37,703.63x = 6,868,887,201.56
5. Step 5: Solve for x
   x = 6,868,887,201.56/37,703.63
6. Step 6: Final answer
   x = 182,181.08