Finding the Third Proportional to 22,526 and 32,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,526 : 32,447.50 = 32,447.50 : x
2. Step 2: Convert to fraction form
   22,526/32,447.50 = 32,447.50/x
3. Step 3: Cross multiply
   22,526x = 32,447.50 × 32,447.50
4. Step 4: Simplify right side
   22,526x = 1,052,840,256.25
5. Step 5: Solve for x
   x = 1,052,840,256.25/22,526
6. Step 6: Final answer
   x = 46,738.89