Finding the Third Proportional to 25,161 and 32,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,161 : 32,269.50 = 32,269.50 : x
2. Step 2: Convert to fraction form
   25,161/32,269.50 = 32,269.50/x
3. Step 3: Cross multiply
   25,161x = 32,269.50 × 32,269.50
4. Step 4: Simplify right side
   25,161x = 1,041,320,630.25
5. Step 5: Solve for x
   x = 1,041,320,630.25/25,161
6. Step 6: Final answer
   x = 41,386.30