Finding the Third Proportional to 53,776.69 and 85,410.84

Step by Step Solution

1. Step 1: Write the proportion equation
   53,776.69 : 85,410.84 = 85,410.84 : x
2. Step 2: Convert to fraction form
   53,776.69/85,410.84 = 85,410.84/x
3. Step 3: Cross multiply
   53,776.69x = 85,410.84 × 85,410.84
4. Step 4: Simplify right side
   53,776.69x = 7,295,012,230.09
5. Step 5: Solve for x
   x = 7,295,012,230.09/53,776.69
6. Step 6: Final answer
   x = 135,653.80