Finding the Third Proportional to 37,152 and 81,074

Step by Step Solution

1. Step 1: Write the proportion equation
   37,152 : 81,074 = 81,074 : x
2. Step 2: Convert to fraction form
   37,152/81,074 = 81,074/x
3. Step 3: Cross multiply
   37,152x = 81,074 × 81,074
4. Step 4: Simplify right side
   37,152x = 6,572,993,476
5. Step 5: Solve for x
   x = 6,572,993,476/37,152
6. Step 6: Final answer
   x = 176,921.66