Finding the Third Proportional to 37,178 and 59,848

Step by Step Solution

1. Step 1: Write the proportion equation
   37,178 : 59,848 = 59,848 : x
2. Step 2: Convert to fraction form
   37,178/59,848 = 59,848/x
3. Step 3: Cross multiply
   37,178x = 59,848 × 59,848
4. Step 4: Simplify right side
   37,178x = 3,581,783,104
5. Step 5: Solve for x
   x = 3,581,783,104/37,178
6. Step 6: Final answer
   x = 96,341.47