Finding the Third Proportional to 61,464 and 89,508

Step by Step Solution

1. Step 1: Write the proportion equation
   61,464 : 89,508 = 89,508 : x
2. Step 2: Convert to fraction form
   61,464/89,508 = 89,508/x
3. Step 3: Cross multiply
   61,464x = 89,508 × 89,508
4. Step 4: Simplify right side
   61,464x = 8,011,682,064
5. Step 5: Solve for x
   x = 8,011,682,064/61,464
6. Step 6: Final answer
   x = 130,347.55