Finding the Third Proportional to 37,633 and 81,142

Step by Step Solution

1. Step 1: Write the proportion equation
   37,633 : 81,142 = 81,142 : x
2. Step 2: Convert to fraction form
   37,633/81,142 = 81,142/x
3. Step 3: Cross multiply
   37,633x = 81,142 × 81,142
4. Step 4: Simplify right side
   37,633x = 6,584,024,164
5. Step 5: Solve for x
   x = 6,584,024,164/37,633
6. Step 6: Final answer
   x = 174,953.48