Finding the Third Proportional to 26,535 and 35,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,535 : 35,428.50 = 35,428.50 : x
2. Step 2: Convert to fraction form
   26,535/35,428.50 = 35,428.50/x
3. Step 3: Cross multiply
   26,535x = 35,428.50 × 35,428.50
4. Step 4: Simplify right side
   26,535x = 1,255,178,612.25
5. Step 5: Solve for x
   x = 1,255,178,612.25/26,535
6. Step 6: Final answer
   x = 47,302.76