Finding the Third Proportional to 21,784.50 and 32,590.13

Step by Step Solution

1. Step 1: Write the proportion equation
   21,784.50 : 32,590.13 = 32,590.13 : x
2. Step 2: Convert to fraction form
   21,784.50/32,590.13 = 32,590.13/x
3. Step 3: Cross multiply
   21,784.50x = 32,590.13 × 32,590.13
4. Step 4: Simplify right side
   21,784.50x = 1,062,116,247.52
5. Step 5: Solve for x
   x = 1,062,116,247.52/21,784.50
6. Step 6: Final answer
   x = 48,755.59