Finding the Third Proportional to 37,896 and 59,315

Step by Step Solution

1. Step 1: Write the proportion equation
   37,896 : 59,315 = 59,315 : x
2. Step 2: Convert to fraction form
   37,896/59,315 = 59,315/x
3. Step 3: Cross multiply
   37,896x = 59,315 × 59,315
4. Step 4: Simplify right side
   37,896x = 3,518,269,225
5. Step 5: Solve for x
   x = 3,518,269,225/37,896
6. Step 6: Final answer
   x = 92,840.12