Finding the Third Proportional to 40,191 and 61,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,191 : 61,222.50 = 61,222.50 : x
2. Step 2: Convert to fraction form
   40,191/61,222.50 = 61,222.50/x
3. Step 3: Cross multiply
   40,191x = 61,222.50 × 61,222.50
4. Step 4: Simplify right side
   40,191x = 3,748,194,506.25
5. Step 5: Solve for x
   x = 3,748,194,506.25/40,191
6. Step 6: Final answer
   x = 93,259.55