Finding the Third Proportional to 27,822 and 61,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,822 : 61,648.50 = 61,648.50 : x
2. Step 2: Convert to fraction form
   27,822/61,648.50 = 61,648.50/x
3. Step 3: Cross multiply
   27,822x = 61,648.50 × 61,648.50
4. Step 4: Simplify right side
   27,822x = 3,800,537,552.25
5. Step 5: Solve for x
   x = 3,800,537,552.25/27,822
6. Step 6: Final answer
   x = 136,601.88