Finding the Third Proportional to 31,187 and 59,506

Step by Step Solution

1. Step 1: Write the proportion equation
   31,187 : 59,506 = 59,506 : x
2. Step 2: Convert to fraction form
   31,187/59,506 = 59,506/x
3. Step 3: Cross multiply
   31,187x = 59,506 × 59,506
4. Step 4: Simplify right side
   31,187x = 3,540,964,036
5. Step 5: Solve for x
   x = 3,540,964,036/31,187
6. Step 6: Final answer
   x = 113,539.75