Finding the Third Proportional to 35,061 and 76,547

Step by Step Solution

1. Step 1: Write the proportion equation
   35,061 : 76,547 = 76,547 : x
2. Step 2: Convert to fraction form
   35,061/76,547 = 76,547/x
3. Step 3: Cross multiply
   35,061x = 76,547 × 76,547
4. Step 4: Simplify right side
   35,061x = 5,859,443,209
5. Step 5: Solve for x
   x = 5,859,443,209/35,061
6. Step 6: Final answer
   x = 167,121.39