Finding the Third Proportional to 37,683 and 90,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,683 : 90,499.50 = 90,499.50 : x
2. Step 2: Convert to fraction form
   37,683/90,499.50 = 90,499.50/x
3. Step 3: Cross multiply
   37,683x = 90,499.50 × 90,499.50
4. Step 4: Simplify right side
   37,683x = 8,190,159,500.25
5. Step 5: Solve for x
   x = 8,190,159,500.25/37,683
6. Step 6: Final answer
   x = 217,343.62