Finding the Third Proportional to 70,641 and 106,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,641 : 106,681.50 = 106,681.50 : x
2. Step 2: Convert to fraction form
   70,641/106,681.50 = 106,681.50/x
3. Step 3: Cross multiply
   70,641x = 106,681.50 × 106,681.50
4. Step 4: Simplify right side
   70,641x = 11,380,942,442.25
5. Step 5: Solve for x
   x = 11,380,942,442.25/70,641
6. Step 6: Final answer
   x = 161,109.59