Finding the Third Proportional to 31,299 and 67,513

Step by Step Solution

1. Step 1: Write the proportion equation
   31,299 : 67,513 = 67,513 : x
2. Step 2: Convert to fraction form
   31,299/67,513 = 67,513/x
3. Step 3: Cross multiply
   31,299x = 67,513 × 67,513
4. Step 4: Simplify right side
   31,299x = 4,558,005,169
5. Step 5: Solve for x
   x = 4,558,005,169/31,299
6. Step 6: Final answer
   x = 145,627.82