Finding the Third Proportional to 61,914 and 83,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,914 : 83,605.50 = 83,605.50 : x
2. Step 2: Convert to fraction form
   61,914/83,605.50 = 83,605.50/x
3. Step 3: Cross multiply
   61,914x = 83,605.50 × 83,605.50
4. Step 4: Simplify right side
   61,914x = 6,989,879,630.25
5. Step 5: Solve for x
   x = 6,989,879,630.25/61,914
6. Step 6: Final answer
   x = 112,896.59