Finding the Third Proportional to 15,682 and 37,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,682 : 37,927.50 = 37,927.50 : x
2. Step 2: Convert to fraction form
   15,682/37,927.50 = 37,927.50/x
3. Step 3: Cross multiply
   15,682x = 37,927.50 × 37,927.50
4. Step 4: Simplify right side
   15,682x = 1,438,495,256.25
5. Step 5: Solve for x
   x = 1,438,495,256.25/15,682
6. Step 6: Final answer
   x = 91,729.07