Finding the Third Proportional to 38,211.50 and 83,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,211.50 : 83,804.50 = 83,804.50 : x
2. Step 2: Convert to fraction form
   38,211.50/83,804.50 = 83,804.50/x
3. Step 3: Cross multiply
   38,211.50x = 83,804.50 × 83,804.50
4. Step 4: Simplify right side
   38,211.50x = 7,023,194,220.25
5. Step 5: Solve for x
   x = 7,023,194,220.25/38,211.50
6. Step 6: Final answer
   x = 183,797.92