Finding the Third Proportional to 39,621 and 61,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,621 : 61,547.50 = 61,547.50 : x
2. Step 2: Convert to fraction form
   39,621/61,547.50 = 61,547.50/x
3. Step 3: Cross multiply
   39,621x = 61,547.50 × 61,547.50
4. Step 4: Simplify right side
   39,621x = 3,788,094,756.25
5. Step 5: Solve for x
   x = 3,788,094,756.25/39,621
6. Step 6: Final answer
   x = 95,608.26