Finding the Third Proportional to 22,662 and 53,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,662 : 53,320.50 = 53,320.50 : x
2. Step 2: Convert to fraction form
   22,662/53,320.50 = 53,320.50/x
3. Step 3: Cross multiply
   22,662x = 53,320.50 × 53,320.50
4. Step 4: Simplify right side
   22,662x = 2,843,075,720.25
5. Step 5: Solve for x
   x = 2,843,075,720.25/22,662
6. Step 6: Final answer
   x = 125,455.64