Finding the Third Proportional to 31,182 and 59,490

Step by Step Solution

1. Step 1: Write the proportion equation
   31,182 : 59,490 = 59,490 : x
2. Step 2: Convert to fraction form
   31,182/59,490 = 59,490/x
3. Step 3: Cross multiply
   31,182x = 59,490 × 59,490
4. Step 4: Simplify right side
   31,182x = 3,539,060,100
5. Step 5: Solve for x
   x = 3,539,060,100/31,182
6. Step 6: Final answer
   x = 113,496.89