Finding the Third Proportional to 24,422.50 and 53,219.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,422.50 : 53,219.25 = 53,219.25 : x
2. Step 2: Convert to fraction form
   24,422.50/53,219.25 = 53,219.25/x
3. Step 3: Cross multiply
   24,422.50x = 53,219.25 × 53,219.25
4. Step 4: Simplify right side
   24,422.50x = 2,832,288,570.56
5. Step 5: Solve for x
   x = 2,832,288,570.56/24,422.50
6. Step 6: Final answer
   x = 115,970.46