Finding the Third Proportional to 30,657 and 47,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,657 : 47,488.50 = 47,488.50 : x
2. Step 2: Convert to fraction form
   30,657/47,488.50 = 47,488.50/x
3. Step 3: Cross multiply
   30,657x = 47,488.50 × 47,488.50
4. Step 4: Simplify right side
   30,657x = 2,255,157,632.25
5. Step 5: Solve for x
   x = 2,255,157,632.25/30,657
6. Step 6: Final answer
   x = 73,560.94