Finding the Third Proportional to 38,202 and 84,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,202 : 84,019.50 = 84,019.50 : x
2. Step 2: Convert to fraction form
   38,202/84,019.50 = 84,019.50/x
3. Step 3: Cross multiply
   38,202x = 84,019.50 × 84,019.50
4. Step 4: Simplify right side
   38,202x = 7,059,276,380.25
5. Step 5: Solve for x
   x = 7,059,276,380.25/38,202
6. Step 6: Final answer
   x = 184,788.14