Finding the Third Proportional to 37,848 and 88,410

Step by Step Solution

1. Step 1: Write the proportion equation
   37,848 : 88,410 = 88,410 : x
2. Step 2: Convert to fraction form
   37,848/88,410 = 88,410/x
3. Step 3: Cross multiply
   37,848x = 88,410 × 88,410
4. Step 4: Simplify right side
   37,848x = 7,816,328,100
5. Step 5: Solve for x
   x = 7,816,328,100/37,848
6. Step 6: Final answer
   x = 206,518.92