Finding the Third Proportional to 37,137 and 87,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,137 : 87,580.50 = 87,580.50 : x
2. Step 2: Convert to fraction form
   37,137/87,580.50 = 87,580.50/x
3. Step 3: Cross multiply
   37,137x = 87,580.50 × 87,580.50
4. Step 4: Simplify right side
   37,137x = 7,670,343,980.25
5. Step 5: Solve for x
   x = 7,670,343,980.25/37,137
6. Step 6: Final answer
   x = 206,541.83