Finding the Third Proportional to 9,742 and 21,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742 : 21,123.50 = 21,123.50 : x
2. Step 2: Convert to fraction form
   9,742/21,123.50 = 21,123.50/x
3. Step 3: Cross multiply
   9,742x = 21,123.50 × 21,123.50
4. Step 4: Simplify right side
   9,742x = 446,202,252.25
5. Step 5: Solve for x
   x = 446,202,252.25/9,742
6. Step 6: Final answer
   x = 45,801.91