Finding the Third Proportional to 37,880 and 58,642

Step by Step Solution

1. Step 1: Write the proportion equation
   37,880 : 58,642 = 58,642 : x
2. Step 2: Convert to fraction form
   37,880/58,642 = 58,642/x
3. Step 3: Cross multiply
   37,880x = 58,642 × 58,642
4. Step 4: Simplify right side
   37,880x = 3,438,884,164
5. Step 5: Solve for x
   x = 3,438,884,164/37,880
6. Step 6: Final answer
   x = 90,783.64