Finding the Third Proportional to 21,807 and 47,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,807 : 47,101.50 = 47,101.50 : x
2. Step 2: Convert to fraction form
   21,807/47,101.50 = 47,101.50/x
3. Step 3: Cross multiply
   21,807x = 47,101.50 × 47,101.50
4. Step 4: Simplify right side
   21,807x = 2,218,551,302.25
5. Step 5: Solve for x
   x = 2,218,551,302.25/21,807
6. Step 6: Final answer
   x = 101,735.74