Finding the Third Proportional to 18,362 and 37,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,362 : 37,810.50 = 37,810.50 : x
2. Step 2: Convert to fraction form
   18,362/37,810.50 = 37,810.50/x
3. Step 3: Cross multiply
   18,362x = 37,810.50 × 37,810.50
4. Step 4: Simplify right side
   18,362x = 1,429,633,910.25
5. Step 5: Solve for x
   x = 1,429,633,910.25/18,362
6. Step 6: Final answer
   x = 77,858.29