Finding the Third Proportional to 21,507 and 45,624

Step by Step Solution

1. Step 1: Write the proportion equation
   21,507 : 45,624 = 45,624 : x
2. Step 2: Convert to fraction form
   21,507/45,624 = 45,624/x
3. Step 3: Cross multiply
   21,507x = 45,624 × 45,624
4. Step 4: Simplify right side
   21,507x = 2,081,549,376
5. Step 5: Solve for x
   x = 2,081,549,376/21,507
6. Step 6: Final answer
   x = 96,784.74