Finding the Third Proportional to 61,307 and 82,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,307 : 82,386.50 = 82,386.50 : x
2. Step 2: Convert to fraction form
   61,307/82,386.50 = 82,386.50/x
3. Step 3: Cross multiply
   61,307x = 82,386.50 × 82,386.50
4. Step 4: Simplify right side
   61,307x = 6,787,535,382.25
5. Step 5: Solve for x
   x = 6,787,535,382.25/61,307
6. Step 6: Final answer
   x = 110,713.87