Finding the Third Proportional to 37,575 and 87,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,575 : 87,367.50 = 87,367.50 : x
2. Step 2: Convert to fraction form
   37,575/87,367.50 = 87,367.50/x
3. Step 3: Cross multiply
   37,575x = 87,367.50 × 87,367.50
4. Step 4: Simplify right side
   37,575x = 7,633,080,056.25
5. Step 5: Solve for x
   x = 7,633,080,056.25/37,575
6. Step 6: Final answer
   x = 203,142.52