Finding the Third Proportional to 53,758.13 and 85,404.19

Step by Step Solution

1. Step 1: Write the proportion equation
   53,758.13 : 85,404.19 = 85,404.19 : x
2. Step 2: Convert to fraction form
   53,758.13/85,404.19 = 85,404.19/x
3. Step 3: Cross multiply
   53,758.13x = 85,404.19 × 85,404.19
4. Step 4: Simplify right side
   53,758.13x = 7,293,875,242.54
5. Step 5: Solve for x
   x = 7,293,875,242.54/53,758.13
6. Step 6: Final answer
   x = 135,679.49