Finding the Third Proportional to 37,500 and 81,576

Step by Step Solution

1. Step 1: Write the proportion equation
   37,500 : 81,576 = 81,576 : x
2. Step 2: Convert to fraction form
   37,500/81,576 = 81,576/x
3. Step 3: Cross multiply
   37,500x = 81,576 × 81,576
4. Step 4: Simplify right side
   37,500x = 6,654,643,776
5. Step 5: Solve for x
   x = 6,654,643,776/37,500
6. Step 6: Final answer
   x = 177,457.17