Finding the Third Proportional to 61,765.50 and 83,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,765.50 : 83,899.50 = 83,899.50 : x
2. Step 2: Convert to fraction form
   61,765.50/83,899.50 = 83,899.50/x
3. Step 3: Cross multiply
   61,765.50x = 83,899.50 × 83,899.50
4. Step 4: Simplify right side
   61,765.50x = 7,039,126,100.25
5. Step 5: Solve for x
   x = 7,039,126,100.25/61,765.50
6. Step 6: Final answer
   x = 113,965.34