Finding the Third Proportional to 38,454.75 and 84,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,454.75 : 84,199.50 = 84,199.50 : x
2. Step 2: Convert to fraction form
   38,454.75/84,199.50 = 84,199.50/x
3. Step 3: Cross multiply
   38,454.75x = 84,199.50 × 84,199.50
4. Step 4: Simplify right side
   38,454.75x = 7,089,555,800.25
5. Step 5: Solve for x
   x = 7,089,555,800.25/38,454.75
6. Step 6: Final answer
   x = 184,360.99