Finding the Third Proportional to 37,098 and 76,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,098 : 76,018.50 = 76,018.50 : x
2. Step 2: Convert to fraction form
   37,098/76,018.50 = 76,018.50/x
3. Step 3: Cross multiply
   37,098x = 76,018.50 × 76,018.50
4. Step 4: Simplify right side
   37,098x = 5,778,812,342.25
5. Step 5: Solve for x
   x = 5,778,812,342.25/37,098
6. Step 6: Final answer
   x = 155,771.53