Finding the Third Proportional to 21,130.50 and 31,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,130.50 : 31,777.50 = 31,777.50 : x
2. Step 2: Convert to fraction form
   21,130.50/31,777.50 = 31,777.50/x
3. Step 3: Cross multiply
   21,130.50x = 31,777.50 × 31,777.50
4. Step 4: Simplify right side
   21,130.50x = 1,009,809,506.25
5. Step 5: Solve for x
   x = 1,009,809,506.25/21,130.50
6. Step 6: Final answer
   x = 47,789.19