Finding the Third Proportional to 46,991 and 72,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,991 : 72,827.50 = 72,827.50 : x
2. Step 2: Convert to fraction form
   46,991/72,827.50 = 72,827.50/x
3. Step 3: Cross multiply
   46,991x = 72,827.50 × 72,827.50
4. Step 4: Simplify right side
   46,991x = 5,303,844,756.25
5. Step 5: Solve for x
   x = 5,303,844,756.25/46,991
6. Step 6: Final answer
   x = 112,869.37