Finding the Third Proportional to 37,218 and 58,377

Step by Step Solution

1. Step 1: Write the proportion equation
   37,218 : 58,377 = 58,377 : x
2. Step 2: Convert to fraction form
   37,218/58,377 = 58,377/x
3. Step 3: Cross multiply
   37,218x = 58,377 × 58,377
4. Step 4: Simplify right side
   37,218x = 3,407,874,129
5. Step 5: Solve for x
   x = 3,407,874,129/37,218
6. Step 6: Final answer
   x = 91,565.21