Finding the Third Proportional to 37,095.75 and 78,605.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,095.75 : 78,605.75 = 78,605.75 : x
2. Step 2: Convert to fraction form
   37,095.75/78,605.75 = 78,605.75/x
3. Step 3: Cross multiply
   37,095.75x = 78,605.75 × 78,605.75
4. Step 4: Simplify right side
   37,095.75x = 6,178,863,933.06
5. Step 5: Solve for x
   x = 6,178,863,933.06/37,095.75
6. Step 6: Final answer
   x = 166,565.28