Finding the Third Proportional to 31,836.38 and 59,099.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,836.38 : 59,099.63 = 59,099.63 : x
2. Step 2: Convert to fraction form
   31,836.38/59,099.63 = 59,099.63/x
3. Step 3: Cross multiply
   31,836.38x = 59,099.63 × 59,099.63
4. Step 4: Simplify right side
   31,836.38x = 3,492,765,675.14
5. Step 5: Solve for x
   x = 3,492,765,675.14/31,836.38
6. Step 6: Final answer
   x = 109,709.90