Finding the Third Proportional to 24,802 and 58,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,802 : 58,537.50 = 58,537.50 : x
2. Step 2: Convert to fraction form
   24,802/58,537.50 = 58,537.50/x
3. Step 3: Cross multiply
   24,802x = 58,537.50 × 58,537.50
4. Step 4: Simplify right side
   24,802x = 3,426,638,906.25
5. Step 5: Solve for x
   x = 3,426,638,906.25/24,802
6. Step 6: Final answer
   x = 138,159.78