Finding the Third Proportional to 23,821 and 53,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,821 : 53,711.50 = 53,711.50 : x
2. Step 2: Convert to fraction form
   23,821/53,711.50 = 53,711.50/x
3. Step 3: Cross multiply
   23,821x = 53,711.50 × 53,711.50
4. Step 4: Simplify right side
   23,821x = 2,884,925,232.25
5. Step 5: Solve for x
   x = 2,884,925,232.25/23,821
6. Step 6: Final answer
   x = 121,108.49