Finding the Third Proportional to 22,509 and 32,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,509 : 32,422.50 = 32,422.50 : x
2. Step 2: Convert to fraction form
   22,509/32,422.50 = 32,422.50/x
3. Step 3: Cross multiply
   22,509x = 32,422.50 × 32,422.50
4. Step 4: Simplify right side
   22,509x = 1,051,218,506.25
5. Step 5: Solve for x
   x = 1,051,218,506.25/22,509
6. Step 6: Final answer
   x = 46,702.14