Finding the Third Proportional to 55,435.50 and 82,788.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,435.50 : 82,788.75 = 82,788.75 : x
2. Step 2: Convert to fraction form
   55,435.50/82,788.75 = 82,788.75/x
3. Step 3: Cross multiply
   55,435.50x = 82,788.75 × 82,788.75
4. Step 4: Simplify right side
   55,435.50x = 6,853,977,126.56
5. Step 5: Solve for x
   x = 6,853,977,126.56/55,435.50
6. Step 6: Final answer
   x = 123,638.77