Finding the Third Proportional to 13,776.75 and 31,984.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,776.75 : 31,984.88 = 31,984.88 : x
2. Step 2: Convert to fraction form
   13,776.75/31,984.88 = 31,984.88/x
3. Step 3: Cross multiply
   13,776.75x = 31,984.88 × 31,984.88
4. Step 4: Simplify right side
   13,776.75x = 1,023,032,228.77
5. Step 5: Solve for x
   x = 1,023,032,228.77/13,776.75
6. Step 6: Final answer
   x = 74,257.88