Finding the Third Proportional to 45,643.50 and 61,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,643.50 : 61,600.50 = 61,600.50 : x
2. Step 2: Convert to fraction form
   45,643.50/61,600.50 = 61,600.50/x
3. Step 3: Cross multiply
   45,643.50x = 61,600.50 × 61,600.50
4. Step 4: Simplify right side
   45,643.50x = 3,794,621,600.25
5. Step 5: Solve for x
   x = 3,794,621,600.25/45,643.50
6. Step 6: Final answer
   x = 83,136.08