Finding the Third Proportional to 14,097 and 30,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,097 : 30,637.50 = 30,637.50 : x
2. Step 2: Convert to fraction form
   14,097/30,637.50 = 30,637.50/x
3. Step 3: Cross multiply
   14,097x = 30,637.50 × 30,637.50
4. Step 4: Simplify right side
   14,097x = 938,656,406.25
5. Step 5: Solve for x
   x = 938,656,406.25/14,097
6. Step 6: Final answer
   x = 66,585.54