Finding the Third Proportional to 37,024 and 78,180

Step by Step Solution

1. Step 1: Write the proportion equation
   37,024 : 78,180 = 78,180 : x
2. Step 2: Convert to fraction form
   37,024/78,180 = 78,180/x
3. Step 3: Cross multiply
   37,024x = 78,180 × 78,180
4. Step 4: Simplify right side
   37,024x = 6,112,112,400
5. Step 5: Solve for x
   x = 6,112,112,400/37,024
6. Step 6: Final answer
   x = 165,085.14