Finding the Third Proportional to 17,914.50 and 38,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,914.50 : 38,897.50 = 38,897.50 : x
2. Step 2: Convert to fraction form
   17,914.50/38,897.50 = 38,897.50/x
3. Step 3: Cross multiply
   17,914.50x = 38,897.50 × 38,897.50
4. Step 4: Simplify right side
   17,914.50x = 1,513,015,506.25
5. Step 5: Solve for x
   x = 1,513,015,506.25/17,914.50
6. Step 6: Final answer
   x = 84,457.59