Finding the Third Proportional to 38,814 and 84,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,814 : 84,736.50 = 84,736.50 : x
2. Step 2: Convert to fraction form
   38,814/84,736.50 = 84,736.50/x
3. Step 3: Cross multiply
   38,814x = 84,736.50 × 84,736.50
4. Step 4: Simplify right side
   38,814x = 7,180,274,432.25
5. Step 5: Solve for x
   x = 7,180,274,432.25/38,814
6. Step 6: Final answer
   x = 184,991.87