Finding the Third Proportional to 39,577.50 and 84,690.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,577.50 : 84,690.75 = 84,690.75 : x
2. Step 2: Convert to fraction form
   39,577.50/84,690.75 = 84,690.75/x
3. Step 3: Cross multiply
   39,577.50x = 84,690.75 × 84,690.75
4. Step 4: Simplify right side
   39,577.50x = 7,172,523,135.56
5. Step 5: Solve for x
   x = 7,172,523,135.56/39,577.50
6. Step 6: Final answer
   x = 181,227.29