Finding the Third Proportional to 10,071.75 and 21,602.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071.75 : 21,602.25 = 21,602.25 : x
2. Step 2: Convert to fraction form
   10,071.75/21,602.25 = 21,602.25/x
3. Step 3: Cross multiply
   10,071.75x = 21,602.25 × 21,602.25
4. Step 4: Simplify right side
   10,071.75x = 466,657,205.06
5. Step 5: Solve for x
   x = 466,657,205.06/10,071.75
6. Step 6: Final answer
   x = 46,333.28