Finding the Third Proportional to 37,140 and 81,084

Step by Step Solution

1. Step 1: Write the proportion equation
   37,140 : 81,084 = 81,084 : x
2. Step 2: Convert to fraction form
   37,140/81,084 = 81,084/x
3. Step 3: Cross multiply
   37,140x = 81,084 × 81,084
4. Step 4: Simplify right side
   37,140x = 6,574,615,056
5. Step 5: Solve for x
   x = 6,574,615,056/37,140
6. Step 6: Final answer
   x = 177,022.48