Finding the Third Proportional to 37,200 and 54,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,200 : 54,157.50 = 54,157.50 : x
2. Step 2: Convert to fraction form
   37,200/54,157.50 = 54,157.50/x
3. Step 3: Cross multiply
   37,200x = 54,157.50 × 54,157.50
4. Step 4: Simplify right side
   37,200x = 2,933,034,806.25
5. Step 5: Solve for x
   x = 2,933,034,806.25/37,200
6. Step 6: Final answer
   x = 78,845.02