Finding the Third Proportional to 36,822 and 57,602.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,822 : 57,602.25 = 57,602.25 : x
2. Step 2: Convert to fraction form
   36,822/57,602.25 = 57,602.25/x
3. Step 3: Cross multiply
   36,822x = 57,602.25 × 57,602.25
4. Step 4: Simplify right side
   36,822x = 3,318,019,205.06
5. Step 5: Solve for x
   x = 3,318,019,205.06/36,822
6. Step 6: Final answer
   x = 90,109.70