Finding the Third Proportional to 38,209.50 and 83,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,209.50 : 83,800.50 = 83,800.50 : x
2. Step 2: Convert to fraction form
   38,209.50/83,800.50 = 83,800.50/x
3. Step 3: Cross multiply
   38,209.50x = 83,800.50 × 83,800.50
4. Step 4: Simplify right side
   38,209.50x = 7,022,523,800.25
5. Step 5: Solve for x
   x = 7,022,523,800.25/38,209.50
6. Step 6: Final answer
   x = 183,789.99