Finding the Third Proportional to 34,356 and 72,402

Step by Step Solution

1. Step 1: Write the proportion equation
   34,356 : 72,402 = 72,402 : x
2. Step 2: Convert to fraction form
   34,356/72,402 = 72,402/x
3. Step 3: Cross multiply
   34,356x = 72,402 × 72,402
4. Step 4: Simplify right side
   34,356x = 5,242,049,604
5. Step 5: Solve for x
   x = 5,242,049,604/34,356
6. Step 6: Final answer
   x = 152,580.32