Finding the Third Proportional to 21,911 and 47,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,911 : 47,967.50 = 47,967.50 : x
2. Step 2: Convert to fraction form
   21,911/47,967.50 = 47,967.50/x
3. Step 3: Cross multiply
   21,911x = 47,967.50 × 47,967.50
4. Step 4: Simplify right side
   21,911x = 2,300,881,056.25
5. Step 5: Solve for x
   x = 2,300,881,056.25/21,911
6. Step 6: Final answer
   x = 105,010.32