Finding the Third Proportional to 56,535 and 83,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,535 : 83,074.50 = 83,074.50 : x
2. Step 2: Convert to fraction form
   56,535/83,074.50 = 83,074.50/x
3. Step 3: Cross multiply
   56,535x = 83,074.50 × 83,074.50
4. Step 4: Simplify right side
   56,535x = 6,901,372,550.25
5. Step 5: Solve for x
   x = 6,901,372,550.25/56,535
6. Step 6: Final answer
   x = 122,072.57