Finding the Third Proportional to 37,316 and 57,864

Step by Step Solution

1. Step 1: Write the proportion equation
   37,316 : 57,864 = 57,864 : x
2. Step 2: Convert to fraction form
   37,316/57,864 = 57,864/x
3. Step 3: Cross multiply
   37,316x = 57,864 × 57,864
4. Step 4: Simplify right side
   37,316x = 3,348,242,496
5. Step 5: Solve for x
   x = 3,348,242,496/37,316
6. Step 6: Final answer
   x = 89,726.73