Finding the Third Proportional to 37,802 and 88,295

Step by Step Solution

1. Step 1: Write the proportion equation
   37,802 : 88,295 = 88,295 : x
2. Step 2: Convert to fraction form
   37,802/88,295 = 88,295/x
3. Step 3: Cross multiply
   37,802x = 88,295 × 88,295
4. Step 4: Simplify right side
   37,802x = 7,796,007,025
5. Step 5: Solve for x
   x = 7,796,007,025/37,802
6. Step 6: Final answer
   x = 206,232.66