Finding the Third Proportional to 23,770 and 37,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,770 : 37,384.50 = 37,384.50 : x
2. Step 2: Convert to fraction form
   23,770/37,384.50 = 37,384.50/x
3. Step 3: Cross multiply
   23,770x = 37,384.50 × 37,384.50
4. Step 4: Simplify right side
   23,770x = 1,397,600,840.25
5. Step 5: Solve for x
   x = 1,397,600,840.25/23,770
6. Step 6: Final answer
   x = 58,796.84