Finding the Third Proportional to 32,588 and 49,160

Step by Step Solution

1. Step 1: Write the proportion equation
   32,588 : 49,160 = 49,160 : x
2. Step 2: Convert to fraction form
   32,588/49,160 = 49,160/x
3. Step 3: Cross multiply
   32,588x = 49,160 × 49,160
4. Step 4: Simplify right side
   32,588x = 2,416,705,600
5. Step 5: Solve for x
   x = 2,416,705,600/32,588
6. Step 6: Final answer
   x = 74,159.37