Finding the Third Proportional to 31,178.25 and 59,486.06

Step by Step Solution

1. Step 1: Write the proportion equation
   31,178.25 : 59,486.06 = 59,486.06 : x
2. Step 2: Convert to fraction form
   31,178.25/59,486.06 = 59,486.06/x
3. Step 3: Cross multiply
   31,178.25x = 59,486.06 × 59,486.06
4. Step 4: Simplify right side
   31,178.25x = 3,538,591,631.75
5. Step 5: Solve for x
   x = 3,538,591,631.75/31,178.25
6. Step 6: Final answer
   x = 113,495.52