Finding the Third Proportional to 37,569 and 58,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,569 : 58,504.50 = 58,504.50 : x
2. Step 2: Convert to fraction form
   37,569/58,504.50 = 58,504.50/x
3. Step 3: Cross multiply
   37,569x = 58,504.50 × 58,504.50
4. Step 4: Simplify right side
   37,569x = 3,422,776,520.25
5. Step 5: Solve for x
   x = 3,422,776,520.25/37,569
6. Step 6: Final answer
   x = 91,106.40