Finding the Third Proportional to 45,644 and 61,053

Step by Step Solution

1. Step 1: Write the proportion equation
   45,644 : 61,053 = 61,053 : x
2. Step 2: Convert to fraction form
   45,644/61,053 = 61,053/x
3. Step 3: Cross multiply
   45,644x = 61,053 × 61,053
4. Step 4: Simplify right side
   45,644x = 3,727,468,809
5. Step 5: Solve for x
   x = 3,727,468,809/45,644
6. Step 6: Final answer
   x = 81,663.94