Finding the Third Proportional to 38,515.50 and 61,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,515.50 : 61,114.50 = 61,114.50 : x
2. Step 2: Convert to fraction form
   38,515.50/61,114.50 = 61,114.50/x
3. Step 3: Cross multiply
   38,515.50x = 61,114.50 × 61,114.50
4. Step 4: Simplify right side
   38,515.50x = 3,734,982,110.25
5. Step 5: Solve for x
   x = 3,734,982,110.25/38,515.50
6. Step 6: Final answer
   x = 96,973.48