Finding the Third Proportional to 37,395 and 81,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,395 : 81,031.50 = 81,031.50 : x
2. Step 2: Convert to fraction form
   37,395/81,031.50 = 81,031.50/x
3. Step 3: Cross multiply
   37,395x = 81,031.50 × 81,031.50
4. Step 4: Simplify right side
   37,395x = 6,566,103,992.25
5. Step 5: Solve for x
   x = 6,566,103,992.25/37,395
6. Step 6: Final answer
   x = 175,587.75