Finding the Third Proportional to 42,546 and 63,402

Step by Step Solution

1. Step 1: Write the proportion equation
   42,546 : 63,402 = 63,402 : x
2. Step 2: Convert to fraction form
   42,546/63,402 = 63,402/x
3. Step 3: Cross multiply
   42,546x = 63,402 × 63,402
4. Step 4: Simplify right side
   42,546x = 4,019,813,604
5. Step 5: Solve for x
   x = 4,019,813,604/42,546
6. Step 6: Final answer
   x = 94,481.59