Finding the Third Proportional to 10,037.50 and 21,862

Step by Step Solution

1. Step 1: Write the proportion equation
   10,037.50 : 21,862 = 21,862 : x
2. Step 2: Convert to fraction form
   10,037.50/21,862 = 21,862/x
3. Step 3: Cross multiply
   10,037.50x = 21,862 × 21,862
4. Step 4: Simplify right side
   10,037.50x = 477,947,044
5. Step 5: Solve for x
   x = 477,947,044/10,037.50
6. Step 6: Final answer
   x = 47,616.14