Finding the Third Proportional to 21,906 and 29,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,906 : 29,587.50 = 29,587.50 : x
2. Step 2: Convert to fraction form
   21,906/29,587.50 = 29,587.50/x
3. Step 3: Cross multiply
   21,906x = 29,587.50 × 29,587.50
4. Step 4: Simplify right side
   21,906x = 875,420,156.25
5. Step 5: Solve for x
   x = 875,420,156.25/21,906
6. Step 6: Final answer
   x = 39,962.57