Finding the Third Proportional to 37,185.75 and 77,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,185.75 : 77,456.25 = 77,456.25 : x
2. Step 2: Convert to fraction form
   37,185.75/77,456.25 = 77,456.25/x
3. Step 3: Cross multiply
   37,185.75x = 77,456.25 × 77,456.25
4. Step 4: Simplify right side
   37,185.75x = 5,999,470,664.06
5. Step 5: Solve for x
   x = 5,999,470,664.06/37,185.75
6. Step 6: Final answer
   x = 161,337.90