Finding the Third Proportional to 56,510 and 83,013

Step by Step Solution

1. Step 1: Write the proportion equation
   56,510 : 83,013 = 83,013 : x
2. Step 2: Convert to fraction form
   56,510/83,013 = 83,013/x
3. Step 3: Cross multiply
   56,510x = 83,013 × 83,013
4. Step 4: Simplify right side
   56,510x = 6,891,158,169
5. Step 5: Solve for x
   x = 6,891,158,169/56,510
6. Step 6: Final answer
   x = 121,945.82