Finding the Third Proportional to 15,402 and 23,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,402 : 23,212.50 = 23,212.50 : x
2. Step 2: Convert to fraction form
   15,402/23,212.50 = 23,212.50/x
3. Step 3: Cross multiply
   15,402x = 23,212.50 × 23,212.50
4. Step 4: Simplify right side
   15,402x = 538,820,156.25
5. Step 5: Solve for x
   x = 538,820,156.25/15,402
6. Step 6: Final answer
   x = 34,983.78