Finding the Third Proportional to 39,013.31 and 83,948.06

Step by Step Solution

1. Step 1: Write the proportion equation
   39,013.31 : 83,948.06 = 83,948.06 : x
2. Step 2: Convert to fraction form
   39,013.31/83,948.06 = 83,948.06/x
3. Step 3: Cross multiply
   39,013.31x = 83,948.06 × 83,948.06
4. Step 4: Simplify right side
   39,013.31x = 7,047,277,197.50
5. Step 5: Solve for x
   x = 7,047,277,197.50/39,013.31
6. Step 6: Final answer
   x = 180,637.76