Finding the Third Proportional to 21,837 and 47,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,837 : 47,011.50 = 47,011.50 : x
2. Step 2: Convert to fraction form
   21,837/47,011.50 = 47,011.50/x
3. Step 3: Cross multiply
   21,837x = 47,011.50 × 47,011.50
4. Step 4: Simplify right side
   21,837x = 2,210,081,132.25
5. Step 5: Solve for x
   x = 2,210,081,132.25/21,837
6. Step 6: Final answer
   x = 101,208.09