Finding the Third Proportional to 37,694 and 58,371

Step by Step Solution

1. Step 1: Write the proportion equation
   37,694 : 58,371 = 58,371 : x
2. Step 2: Convert to fraction form
   37,694/58,371 = 58,371/x
3. Step 3: Cross multiply
   37,694x = 58,371 × 58,371
4. Step 4: Simplify right side
   37,694x = 3,407,173,641
5. Step 5: Solve for x
   x = 3,407,173,641/37,694
6. Step 6: Final answer
   x = 90,390.34