Finding the Third Proportional to 37,564.88 and 80,961.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,564.88 : 80,961.75 = 80,961.75 : x
2. Step 2: Convert to fraction form
   37,564.88/80,961.75 = 80,961.75/x
3. Step 3: Cross multiply
   37,564.88x = 80,961.75 × 80,961.75
4. Step 4: Simplify right side
   37,564.88x = 6,554,804,963.06
5. Step 5: Solve for x
   x = 6,554,804,963.06/37,564.88
6. Step 6: Final answer
   x = 174,492.93