Finding the Third Proportional to 46,854 and 74,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,854 : 74,938.50 = 74,938.50 : x
2. Step 2: Convert to fraction form
   46,854/74,938.50 = 74,938.50/x
3. Step 3: Cross multiply
   46,854x = 74,938.50 × 74,938.50
4. Step 4: Simplify right side
   46,854x = 5,615,778,782.25
5. Step 5: Solve for x
   x = 5,615,778,782.25/46,854
6. Step 6: Final answer
   x = 119,856.98