Finding the Third Proportional to 31,214 and 58,000

Step by Step Solution

1. Step 1: Write the proportion equation
   31,214 : 58,000 = 58,000 : x
2. Step 2: Convert to fraction form
   31,214/58,000 = 58,000/x
3. Step 3: Cross multiply
   31,214x = 58,000 × 58,000
4. Step 4: Simplify right side
   31,214x = 3,364,000,000
5. Step 5: Solve for x
   x = 3,364,000,000/31,214
6. Step 6: Final answer
   x = 107,772.15