Finding the Third Proportional to 10,072.25 and 21,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.25 : 21,602.50 = 21,602.50 : x
2. Step 2: Convert to fraction form
   10,072.25/21,602.50 = 21,602.50/x
3. Step 3: Cross multiply
   10,072.25x = 21,602.50 × 21,602.50
4. Step 4: Simplify right side
   10,072.25x = 466,668,006.25
5. Step 5: Solve for x
   x = 466,668,006.25/10,072.25
6. Step 6: Final answer
   x = 46,332.05