Finding the Third Proportional to 37,557 and 81,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,557 : 81,643.50 = 81,643.50 : x
2. Step 2: Convert to fraction form
   37,557/81,643.50 = 81,643.50/x
3. Step 3: Cross multiply
   37,557x = 81,643.50 × 81,643.50
4. Step 4: Simplify right side
   37,557x = 6,665,661,092.25
5. Step 5: Solve for x
   x = 6,665,661,092.25/37,557
6. Step 6: Final answer
   x = 177,481.19