Finding the Third Proportional to 37,964 and 61,000

Step by Step Solution

1. Step 1: Write the proportion equation
   37,964 : 61,000 = 61,000 : x
2. Step 2: Convert to fraction form
   37,964/61,000 = 61,000/x
3. Step 3: Cross multiply
   37,964x = 61,000 × 61,000
4. Step 4: Simplify right side
   37,964x = 3,721,000,000
5. Step 5: Solve for x
   x = 3,721,000,000/37,964
6. Step 6: Final answer
   x = 98,013.91