Finding the Third Proportional to 10,714.50 and 23,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,714.50 : 23,038.50 = 23,038.50 : x
2. Step 2: Convert to fraction form
   10,714.50/23,038.50 = 23,038.50/x
3. Step 3: Cross multiply
   10,714.50x = 23,038.50 × 23,038.50
4. Step 4: Simplify right side
   10,714.50x = 530,772,482.25
5. Step 5: Solve for x
   x = 530,772,482.25/10,714.50
6. Step 6: Final answer
   x = 49,537.77