Finding the Third Proportional to 30,585 and 47,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,585 : 47,920.50 = 47,920.50 : x
2. Step 2: Convert to fraction form
   30,585/47,920.50 = 47,920.50/x
3. Step 3: Cross multiply
   30,585x = 47,920.50 × 47,920.50
4. Step 4: Simplify right side
   30,585x = 2,296,374,320.25
5. Step 5: Solve for x
   x = 2,296,374,320.25/30,585
6. Step 6: Final answer
   x = 75,081.72