Finding the Third Proportional to 35,820 and 77,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,820 : 77,872.50 = 77,872.50 : x
2. Step 2: Convert to fraction form
   35,820/77,872.50 = 77,872.50/x
3. Step 3: Cross multiply
   35,820x = 77,872.50 × 77,872.50
4. Step 4: Simplify right side
   35,820x = 6,064,126,256.25
5. Step 5: Solve for x
   x = 6,064,126,256.25/35,820
6. Step 6: Final answer
   x = 169,294.42