Finding the Third Proportional to 37,446 and 81,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,446 : 81,451.50 = 81,451.50 : x
2. Step 2: Convert to fraction form
   37,446/81,451.50 = 81,451.50/x
3. Step 3: Cross multiply
   37,446x = 81,451.50 × 81,451.50
4. Step 4: Simplify right side
   37,446x = 6,634,346,852.25
5. Step 5: Solve for x
   x = 6,634,346,852.25/37,446
6. Step 6: Final answer
   x = 177,171.04