Finding the Third Proportional to 35,886.75 and 78,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,886.75 : 78,577.50 = 78,577.50 : x
2. Step 2: Convert to fraction form
   35,886.75/78,577.50 = 78,577.50/x
3. Step 3: Cross multiply
   35,886.75x = 78,577.50 × 78,577.50
4. Step 4: Simplify right side
   35,886.75x = 6,174,423,506.25
5. Step 5: Solve for x
   x = 6,174,423,506.25/35,886.75
6. Step 6: Final answer
   x = 172,053.01