Finding the Third Proportional to 45,891 and 61,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,891 : 61,924.50 = 61,924.50 : x
2. Step 2: Convert to fraction form
   45,891/61,924.50 = 61,924.50/x
3. Step 3: Cross multiply
   45,891x = 61,924.50 × 61,924.50
4. Step 4: Simplify right side
   45,891x = 3,834,643,700.25
5. Step 5: Solve for x
   x = 3,834,643,700.25/45,891
6. Step 6: Final answer
   x = 83,559.82