Finding the Third Proportional to 37,667.25 and 78,450.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,667.25 : 78,450.75 = 78,450.75 : x
2. Step 2: Convert to fraction form
   37,667.25/78,450.75 = 78,450.75/x
3. Step 3: Cross multiply
   37,667.25x = 78,450.75 × 78,450.75
4. Step 4: Simplify right side
   37,667.25x = 6,154,520,175.56
5. Step 5: Solve for x
   x = 6,154,520,175.56/37,667.25
6. Step 6: Final answer
   x = 163,391.81