Finding the Third Proportional to 14,606.16 and 31,775.63

Step by Step Solution

1. Step 1: Write the proportion equation
   14,606.16 : 31,775.63 = 31,775.63 : x
2. Step 2: Convert to fraction form
   14,606.16/31,775.63 = 31,775.63/x
3. Step 3: Cross multiply
   14,606.16x = 31,775.63 × 31,775.63
4. Step 4: Simplify right side
   14,606.16x = 1,009,690,344.14
5. Step 5: Solve for x
   x = 1,009,690,344.14/14,606.16
6. Step 6: Final answer
   x = 69,127.72