Finding the Third Proportional to 21,738 and 47,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,738 : 47,632.50 = 47,632.50 : x
2. Step 2: Convert to fraction form
   21,738/47,632.50 = 47,632.50/x
3. Step 3: Cross multiply
   21,738x = 47,632.50 × 47,632.50
4. Step 4: Simplify right side
   21,738x = 2,268,855,056.25
5. Step 5: Solve for x
   x = 2,268,855,056.25/21,738
6. Step 6: Final answer
   x = 104,372.76