Finding the Third Proportional to 27,148.50 and 35,781.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,148.50 : 35,781.75 = 35,781.75 : x
2. Step 2: Convert to fraction form
   27,148.50/35,781.75 = 35,781.75/x
3. Step 3: Cross multiply
   27,148.50x = 35,781.75 × 35,781.75
4. Step 4: Simplify right side
   27,148.50x = 1,280,333,633.06
5. Step 5: Solve for x
   x = 1,280,333,633.06/27,148.50
6. Step 6: Final answer
   x = 47,160.38