Finding the Third Proportional to 36,822.50 and 57,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,822.50 : 57,602.50 = 57,602.50 : x
2. Step 2: Convert to fraction form
   36,822.50/57,602.50 = 57,602.50/x
3. Step 3: Cross multiply
   36,822.50x = 57,602.50 × 57,602.50
4. Step 4: Simplify right side
   36,822.50x = 3,318,048,006.25
5. Step 5: Solve for x
   x = 3,318,048,006.25/36,822.50
6. Step 6: Final answer
   x = 90,109.25