Finding the Third Proportional to 37,025.25 and 79,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,025.25 : 79,522.50 = 79,522.50 : x
2. Step 2: Convert to fraction form
   37,025.25/79,522.50 = 79,522.50/x
3. Step 3: Cross multiply
   37,025.25x = 79,522.50 × 79,522.50
4. Step 4: Simplify right side
   37,025.25x = 6,323,828,006.25
5. Step 5: Solve for x
   x = 6,323,828,006.25/37,025.25
6. Step 6: Final answer
   x = 170,797.71