Finding the Third Proportional to 39,641 and 61,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,641 : 61,577.50 = 61,577.50 : x
2. Step 2: Convert to fraction form
   39,641/61,577.50 = 61,577.50/x
3. Step 3: Cross multiply
   39,641x = 61,577.50 × 61,577.50
4. Step 4: Simplify right side
   39,641x = 3,791,788,506.25
5. Step 5: Solve for x
   x = 3,791,788,506.25/39,641
6. Step 6: Final answer
   x = 95,653.20