Finding the Third Proportional to 37,838.34 and 80,288.91

Step by Step Solution

1. Step 1: Write the proportion equation
   37,838.34 : 80,288.91 = 80,288.91 : x
2. Step 2: Convert to fraction form
   37,838.34/80,288.91 = 80,288.91/x
3. Step 3: Cross multiply
   37,838.34x = 80,288.91 × 80,288.91
4. Step 4: Simplify right side
   37,838.34x = 6,446,308,466.82
5. Step 5: Solve for x
   x = 6,446,308,466.82/37,838.34
6. Step 6: Final answer
   x = 170,364.45