Finding the Third Proportional to 45,666 and 61,086

Step by Step Solution

1. Step 1: Write the proportion equation
   45,666 : 61,086 = 61,086 : x
2. Step 2: Convert to fraction form
   45,666/61,086 = 61,086/x
3. Step 3: Cross multiply
   45,666x = 61,086 × 61,086
4. Step 4: Simplify right side
   45,666x = 3,731,499,396
5. Step 5: Solve for x
   x = 3,731,499,396/45,666
6. Step 6: Final answer
   x = 81,712.86