Finding the Third Proportional to 37,836 and 58,374

Step by Step Solution

1. Step 1: Write the proportion equation
   37,836 : 58,374 = 58,374 : x
2. Step 2: Convert to fraction form
   37,836/58,374 = 58,374/x
3. Step 3: Cross multiply
   37,836x = 58,374 × 58,374
4. Step 4: Simplify right side
   37,836x = 3,407,523,876
5. Step 5: Solve for x
   x = 3,407,523,876/37,836
6. Step 6: Final answer
   x = 90,060.36