Finding the Third Proportional to 45,588 and 61,332

Step by Step Solution

1. Step 1: Write the proportion equation
   45,588 : 61,332 = 61,332 : x
2. Step 2: Convert to fraction form
   45,588/61,332 = 61,332/x
3. Step 3: Cross multiply
   45,588x = 61,332 × 61,332
4. Step 4: Simplify right side
   45,588x = 3,761,614,224
5. Step 5: Solve for x
   x = 3,761,614,224/45,588
6. Step 6: Final answer
   x = 82,513.25