Finding the Third Proportional to 26,002.50 and 37,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,002.50 : 37,156.50 = 37,156.50 : x
2. Step 2: Convert to fraction form
   26,002.50/37,156.50 = 37,156.50/x
3. Step 3: Cross multiply
   26,002.50x = 37,156.50 × 37,156.50
4. Step 4: Simplify right side
   26,002.50x = 1,380,605,492.25
5. Step 5: Solve for x
   x = 1,380,605,492.25/26,002.50
6. Step 6: Final answer
   x = 53,095.11