Finding the Third Proportional to 21,577.50 and 32,271.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,577.50 : 32,271.75 = 32,271.75 : x
2. Step 2: Convert to fraction form
   21,577.50/32,271.75 = 32,271.75/x
3. Step 3: Cross multiply
   21,577.50x = 32,271.75 × 32,271.75
4. Step 4: Simplify right side
   21,577.50x = 1,041,465,848.06
5. Step 5: Solve for x
   x = 1,041,465,848.06/21,577.50
6. Step 6: Final answer
   x = 48,266.29