Finding the Third Proportional to 21,077.50 and 31,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,077.50 : 31,561.50 = 31,561.50 : x
2. Step 2: Convert to fraction form
   21,077.50/31,561.50 = 31,561.50/x
3. Step 3: Cross multiply
   21,077.50x = 31,561.50 × 31,561.50
4. Step 4: Simplify right side
   21,077.50x = 996,128,282.25
5. Step 5: Solve for x
   x = 996,128,282.25/21,077.50
6. Step 6: Final answer
   x = 47,260.27