Finding the Third Proportional to 37,922.63 and 84,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,922.63 : 84,262.50 = 84,262.50 : x
2. Step 2: Convert to fraction form
   37,922.63/84,262.50 = 84,262.50/x
3. Step 3: Cross multiply
   37,922.63x = 84,262.50 × 84,262.50
4. Step 4: Simplify right side
   37,922.63x = 7,100,168,906.25
5. Step 5: Solve for x
   x = 7,100,168,906.25/37,922.63
6. Step 6: Final answer
   x = 187,227.78