Finding the Third Proportional to 4,691 and 10,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,691 : 10,038.50 = 10,038.50 : x
2. Step 2: Convert to fraction form
   4,691/10,038.50 = 10,038.50/x
3. Step 3: Cross multiply
   4,691x = 10,038.50 × 10,038.50
4. Step 4: Simplify right side
   4,691x = 100,771,482.25
5. Step 5: Solve for x
   x = 100,771,482.25/4,691
6. Step 6: Final answer
   x = 21,481.88