Finding the Third Proportional to 37,443 and 81,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,443 : 81,445.50 = 81,445.50 : x
2. Step 2: Convert to fraction form
   37,443/81,445.50 = 81,445.50/x
3. Step 3: Cross multiply
   37,443x = 81,445.50 × 81,445.50
4. Step 4: Simplify right side
   37,443x = 6,633,369,470.25
5. Step 5: Solve for x
   x = 6,633,369,470.25/37,443
6. Step 6: Final answer
   x = 177,159.13