Finding the Third Proportional to 37,649 and 58,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,649 : 58,328.50 = 58,328.50 : x
2. Step 2: Convert to fraction form
   37,649/58,328.50 = 58,328.50/x
3. Step 3: Cross multiply
   37,649x = 58,328.50 × 58,328.50
4. Step 4: Simplify right side
   37,649x = 3,402,213,912.25
5. Step 5: Solve for x
   x = 3,402,213,912.25/37,649
6. Step 6: Final answer
   x = 90,366.65