Finding the Third Proportional to 36,560 and 58,143

Step by Step Solution

1. Step 1: Write the proportion equation
   36,560 : 58,143 = 58,143 : x
2. Step 2: Convert to fraction form
   36,560/58,143 = 58,143/x
3. Step 3: Cross multiply
   36,560x = 58,143 × 58,143
4. Step 4: Simplify right side
   36,560x = 3,380,608,449
5. Step 5: Solve for x
   x = 3,380,608,449/36,560
6. Step 6: Final answer
   x = 92,467.41