Finding the Third Proportional to 37,201 and 78,036

Step by Step Solution

1. Step 1: Write the proportion equation
   37,201 : 78,036 = 78,036 : x
2. Step 2: Convert to fraction form
   37,201/78,036 = 78,036/x
3. Step 3: Cross multiply
   37,201x = 78,036 × 78,036
4. Step 4: Simplify right side
   37,201x = 6,089,617,296
5. Step 5: Solve for x
   x = 6,089,617,296/37,201
6. Step 6: Final answer
   x = 163,694.99