Finding the Third Proportional to 30,891 and 47,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,891 : 47,872.50 = 47,872.50 : x
2. Step 2: Convert to fraction form
   30,891/47,872.50 = 47,872.50/x
3. Step 3: Cross multiply
   30,891x = 47,872.50 × 47,872.50
4. Step 4: Simplify right side
   30,891x = 2,291,776,256.25
5. Step 5: Solve for x
   x = 2,291,776,256.25/30,891
6. Step 6: Final answer
   x = 74,189.12