Finding the Third Proportional to 38,242.50 and 84,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,242.50 : 84,049.50 = 84,049.50 : x
2. Step 2: Convert to fraction form
   38,242.50/84,049.50 = 84,049.50/x
3. Step 3: Cross multiply
   38,242.50x = 84,049.50 × 84,049.50
4. Step 4: Simplify right side
   38,242.50x = 7,064,318,450.25
5. Step 5: Solve for x
   x = 7,064,318,450.25/38,242.50
6. Step 6: Final answer
   x = 184,724.28