Finding the Third Proportional to 72,422 and 102,513

Step by Step Solution

1. Step 1: Write the proportion equation
   72,422 : 102,513 = 102,513 : x
2. Step 2: Convert to fraction form
   72,422/102,513 = 102,513/x
3. Step 3: Cross multiply
   72,422x = 102,513 × 102,513
4. Step 4: Simplify right side
   72,422x = 10,508,915,169
5. Step 5: Solve for x
   x = 10,508,915,169/72,422
6. Step 6: Final answer
   x = 145,106.67