Finding the Third Proportional to 37,412 and 81,520

Step by Step Solution

1. Step 1: Write the proportion equation
   37,412 : 81,520 = 81,520 : x
2. Step 2: Convert to fraction form
   37,412/81,520 = 81,520/x
3. Step 3: Cross multiply
   37,412x = 81,520 × 81,520
4. Step 4: Simplify right side
   37,412x = 6,645,510,400
5. Step 5: Solve for x
   x = 6,645,510,400/37,412
6. Step 6: Final answer
   x = 177,630.45