Finding the Third Proportional to 37,284 and 58,194

Step by Step Solution

1. Step 1: Write the proportion equation
   37,284 : 58,194 = 58,194 : x
2. Step 2: Convert to fraction form
   37,284/58,194 = 58,194/x
3. Step 3: Cross multiply
   37,284x = 58,194 × 58,194
4. Step 4: Simplify right side
   37,284x = 3,386,541,636
5. Step 5: Solve for x
   x = 3,386,541,636/37,284
6. Step 6: Final answer
   x = 90,830.96