Finding the Third Proportional to 37,581 and 87,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,581 : 87,388.50 = 87,388.50 : x
2. Step 2: Convert to fraction form
   37,581/87,388.50 = 87,388.50/x
3. Step 3: Cross multiply
   37,581x = 87,388.50 × 87,388.50
4. Step 4: Simplify right side
   37,581x = 7,636,749,932.25
5. Step 5: Solve for x
   x = 7,636,749,932.25/37,581
6. Step 6: Final answer
   x = 203,207.74