Finding the Third Proportional to 45,843 and 61,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,843 : 61,852.50 = 61,852.50 : x
2. Step 2: Convert to fraction form
   45,843/61,852.50 = 61,852.50/x
3. Step 3: Cross multiply
   45,843x = 61,852.50 × 61,852.50
4. Step 4: Simplify right side
   45,843x = 3,825,731,756.25
5. Step 5: Solve for x
   x = 3,825,731,756.25/45,843
6. Step 6: Final answer
   x = 83,452.91