Finding the Third Proportional to 26,376 and 46,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,376 : 46,906.50 = 46,906.50 : x
2. Step 2: Convert to fraction form
   26,376/46,906.50 = 46,906.50/x
3. Step 3: Cross multiply
   26,376x = 46,906.50 × 46,906.50
4. Step 4: Simplify right side
   26,376x = 2,200,219,742.25
5. Step 5: Solve for x
   x = 2,200,219,742.25/26,376
6. Step 6: Final answer
   x = 83,417.49