Finding the Third Proportional to 35,191 and 51,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,191 : 51,805.50 = 51,805.50 : x
2. Step 2: Convert to fraction form
   35,191/51,805.50 = 51,805.50/x
3. Step 3: Cross multiply
   35,191x = 51,805.50 × 51,805.50
4. Step 4: Simplify right side
   35,191x = 2,683,809,830.25
5. Step 5: Solve for x
   x = 2,683,809,830.25/35,191
6. Step 6: Final answer
   x = 76,264.10