Finding the Third Proportional to 14,528 and 21,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,528 : 21,772.50 = 21,772.50 : x
2. Step 2: Convert to fraction form
   14,528/21,772.50 = 21,772.50/x
3. Step 3: Cross multiply
   14,528x = 21,772.50 × 21,772.50
4. Step 4: Simplify right side
   14,528x = 474,041,756.25
5. Step 5: Solve for x
   x = 474,041,756.25/14,528
6. Step 6: Final answer
   x = 32,629.53