Finding the Third Proportional to 61,749 and 89,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,749 : 89,221.50 = 89,221.50 : x
2. Step 2: Convert to fraction form
   61,749/89,221.50 = 89,221.50/x
3. Step 3: Cross multiply
   61,749x = 89,221.50 × 89,221.50
4. Step 4: Simplify right side
   61,749x = 7,960,476,062.25
5. Step 5: Solve for x
   x = 7,960,476,062.25/61,749
6. Step 6: Final answer
   x = 128,916.68