Finding the Third Proportional to 31,580 and 45,624

Step by Step Solution

1. Step 1: Write the proportion equation
   31,580 : 45,624 = 45,624 : x
2. Step 2: Convert to fraction form
   31,580/45,624 = 45,624/x
3. Step 3: Cross multiply
   31,580x = 45,624 × 45,624
4. Step 4: Simplify right side
   31,580x = 2,081,549,376
5. Step 5: Solve for x
   x = 2,081,549,376/31,580
6. Step 6: Final answer
   x = 65,913.53