Finding the Third Proportional to 37,686 and 58,387

Step by Step Solution

1. Step 1: Write the proportion equation
   37,686 : 58,387 = 58,387 : x
2. Step 2: Convert to fraction form
   37,686/58,387 = 58,387/x
3. Step 3: Cross multiply
   37,686x = 58,387 × 58,387
4. Step 4: Simplify right side
   37,686x = 3,409,041,769
5. Step 5: Solve for x
   x = 3,409,041,769/37,686
6. Step 6: Final answer
   x = 90,459.10