Finding the Third Proportional to 34,627.50 and 75,492

Step by Step Solution

1. Step 1: Write the proportion equation
   34,627.50 : 75,492 = 75,492 : x
2. Step 2: Convert to fraction form
   34,627.50/75,492 = 75,492/x
3. Step 3: Cross multiply
   34,627.50x = 75,492 × 75,492
4. Step 4: Simplify right side
   34,627.50x = 5,699,042,064
5. Step 5: Solve for x
   x = 5,699,042,064/34,627.50
6. Step 6: Final answer
   x = 164,581.39