Finding the Third Proportional to 26,400 and 58,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,400 : 58,702.50 = 58,702.50 : x
2. Step 2: Convert to fraction form
   26,400/58,702.50 = 58,702.50/x
3. Step 3: Cross multiply
   26,400x = 58,702.50 × 58,702.50
4. Step 4: Simplify right side
   26,400x = 3,445,983,506.25
5. Step 5: Solve for x
   x = 3,445,983,506.25/26,400
6. Step 6: Final answer
   x = 130,529.68