Finding the Third Proportional to 42,165 and 63,513

Step by Step Solution

1. Step 1: Write the proportion equation
   42,165 : 63,513 = 63,513 : x
2. Step 2: Convert to fraction form
   42,165/63,513 = 63,513/x
3. Step 3: Cross multiply
   42,165x = 63,513 × 63,513
4. Step 4: Simplify right side
   42,165x = 4,033,901,169
5. Step 5: Solve for x
   x = 4,033,901,169/42,165
6. Step 6: Final answer
   x = 95,669.42