Finding the Third Proportional to 61,767 and 83,882.25

Step by Step Solution

1. Step 1: Write the proportion equation
   61,767 : 83,882.25 = 83,882.25 : x
2. Step 2: Convert to fraction form
   61,767/83,882.25 = 83,882.25/x
3. Step 3: Cross multiply
   61,767x = 83,882.25 × 83,882.25
4. Step 4: Simplify right side
   61,767x = 7,036,231,865.06
5. Step 5: Solve for x
   x = 7,036,231,865.06/61,767
6. Step 6: Final answer
   x = 113,915.71