Finding the Third Proportional to 27,742.50 and 59,646.38

Step by Step Solution

1. Step 1: Write the proportion equation
   27,742.50 : 59,646.38 = 59,646.38 : x
2. Step 2: Convert to fraction form
   27,742.50/59,646.38 = 59,646.38/x
3. Step 3: Cross multiply
   27,742.50x = 59,646.38 × 59,646.38
4. Step 4: Simplify right side
   27,742.50x = 3,557,690,050.64
5. Step 5: Solve for x
   x = 3,557,690,050.64/27,742.50
6. Step 6: Final answer
   x = 128,239.71