Finding the Third Proportional to 37,643.50 and 81,848

Step by Step Solution

1. Step 1: Write the proportion equation
   37,643.50 : 81,848 = 81,848 : x
2. Step 2: Convert to fraction form
   37,643.50/81,848 = 81,848/x
3. Step 3: Cross multiply
   37,643.50x = 81,848 × 81,848
4. Step 4: Simplify right side
   37,643.50x = 6,699,095,104
5. Step 5: Solve for x
   x = 6,699,095,104/37,643.50
6. Step 6: Final answer
   x = 177,961.54