Finding the Third Proportional to 22,534 and 52,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,534 : 52,164.50 = 52,164.50 : x
2. Step 2: Convert to fraction form
   22,534/52,164.50 = 52,164.50/x
3. Step 3: Cross multiply
   22,534x = 52,164.50 × 52,164.50
4. Step 4: Simplify right side
   22,534x = 2,721,135,060.25
5. Step 5: Solve for x
   x = 2,721,135,060.25/22,534
6. Step 6: Final answer
   x = 120,756.86