Finding the Third Proportional to 21,769.50 and 32,569.88

Step by Step Solution

1. Step 1: Write the proportion equation
   21,769.50 : 32,569.88 = 32,569.88 : x
2. Step 2: Convert to fraction form
   21,769.50/32,569.88 = 32,569.88/x
3. Step 3: Cross multiply
   21,769.50x = 32,569.88 × 32,569.88
4. Step 4: Simplify right side
   21,769.50x = 1,060,796,757.52
5. Step 5: Solve for x
   x = 1,060,796,757.52/21,769.50
6. Step 6: Final answer
   x = 48,728.58