Finding the Third Proportional to 37,784 and 58,299

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784 : 58,299 = 58,299 : x
2. Step 2: Convert to fraction form
   37,784/58,299 = 58,299/x
3. Step 3: Cross multiply
   37,784x = 58,299 × 58,299
4. Step 4: Simplify right side
   37,784x = 3,398,773,401
5. Step 5: Solve for x
   x = 3,398,773,401/37,784
6. Step 6: Final answer
   x = 89,952.72