Finding the Third Proportional to 69,993 and 107,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,993 : 107,581.50 = 107,581.50 : x
2. Step 2: Convert to fraction form
   69,993/107,581.50 = 107,581.50/x
3. Step 3: Cross multiply
   69,993x = 107,581.50 × 107,581.50
4. Step 4: Simplify right side
   69,993x = 11,573,779,142.25
5. Step 5: Solve for x
   x = 11,573,779,142.25/69,993
6. Step 6: Final answer
   x = 165,356.24