Finding the Third Proportional to 37,500 and 79,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,500 : 79,213.50 = 79,213.50 : x
2. Step 2: Convert to fraction form
   37,500/79,213.50 = 79,213.50/x
3. Step 3: Cross multiply
   37,500x = 79,213.50 × 79,213.50
4. Step 4: Simplify right side
   37,500x = 6,274,778,582.25
5. Step 5: Solve for x
   x = 6,274,778,582.25/37,500
6. Step 6: Final answer
   x = 167,327.43