Finding the Third Proportional to 9,953 and 21,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,953 : 21,459.50 = 21,459.50 : x
2. Step 2: Convert to fraction form
   9,953/21,459.50 = 21,459.50/x
3. Step 3: Cross multiply
   9,953x = 21,459.50 × 21,459.50
4. Step 4: Simplify right side
   9,953x = 460,510,140.25
5. Step 5: Solve for x
   x = 460,510,140.25/9,953
6. Step 6: Final answer
   x = 46,268.48