Finding the Third Proportional to 65,881 and 98,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,881 : 98,641.50 = 98,641.50 : x
2. Step 2: Convert to fraction form
   65,881/98,641.50 = 98,641.50/x
3. Step 3: Cross multiply
   65,881x = 98,641.50 × 98,641.50
4. Step 4: Simplify right side
   65,881x = 9,730,145,522.25
5. Step 5: Solve for x
   x = 9,730,145,522.25/65,881
6. Step 6: Final answer
   x = 147,692.74