Finding the Third Proportional to 35,910 and 54,513

Step by Step Solution

1. Step 1: Write the proportion equation
   35,910 : 54,513 = 54,513 : x
2. Step 2: Convert to fraction form
   35,910/54,513 = 54,513/x
3. Step 3: Cross multiply
   35,910x = 54,513 × 54,513
4. Step 4: Simplify right side
   35,910x = 2,971,667,169
5. Step 5: Solve for x
   x = 2,971,667,169/35,910
6. Step 6: Final answer
   x = 82,753.19