Finding the Third Proportional to 22,002 and 53,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,002 : 53,173.50 = 53,173.50 : x
2. Step 2: Convert to fraction form
   22,002/53,173.50 = 53,173.50/x
3. Step 3: Cross multiply
   22,002x = 53,173.50 × 53,173.50
4. Step 4: Simplify right side
   22,002x = 2,827,421,102.25
5. Step 5: Solve for x
   x = 2,827,421,102.25/22,002
6. Step 6: Final answer
   x = 128,507.46