Finding the Third Proportional to 38,523.75 and 83,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,523.75 : 83,365.50 = 83,365.50 : x
2. Step 2: Convert to fraction form
   38,523.75/83,365.50 = 83,365.50/x
3. Step 3: Cross multiply
   38,523.75x = 83,365.50 × 83,365.50
4. Step 4: Simplify right side
   38,523.75x = 6,949,806,590.25
5. Step 5: Solve for x
   x = 6,949,806,590.25/38,523.75
6. Step 6: Final answer
   x = 180,403.17