Finding the Third Proportional to 21,405 and 32,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,405 : 32,026.50 = 32,026.50 : x
2. Step 2: Convert to fraction form
   21,405/32,026.50 = 32,026.50/x
3. Step 3: Cross multiply
   21,405x = 32,026.50 × 32,026.50
4. Step 4: Simplify right side
   21,405x = 1,025,696,702.25
5. Step 5: Solve for x
   x = 1,025,696,702.25/21,405
6. Step 6: Final answer
   x = 47,918.56