Finding the Third Proportional to 37,040 and 78,216

Step by Step Solution

1. Step 1: Write the proportion equation
   37,040 : 78,216 = 78,216 : x
2. Step 2: Convert to fraction form
   37,040/78,216 = 78,216/x
3. Step 3: Cross multiply
   37,040x = 78,216 × 78,216
4. Step 4: Simplify right side
   37,040x = 6,117,742,656
5. Step 5: Solve for x
   x = 6,117,742,656/37,040
6. Step 6: Final answer
   x = 165,165.84