Finding the Third Proportional to 37,569 and 76,527

Step by Step Solution

1. Step 1: Write the proportion equation
   37,569 : 76,527 = 76,527 : x
2. Step 2: Convert to fraction form
   37,569/76,527 = 76,527/x
3. Step 3: Cross multiply
   37,569x = 76,527 × 76,527
4. Step 4: Simplify right side
   37,569x = 5,856,381,729
5. Step 5: Solve for x
   x = 5,856,381,729/37,569
6. Step 6: Final answer
   x = 155,883.35