Finding the Third Proportional to 38,160 and 61,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,160 : 61,798.50 = 61,798.50 : x
2. Step 2: Convert to fraction form
   38,160/61,798.50 = 61,798.50/x
3. Step 3: Cross multiply
   38,160x = 61,798.50 × 61,798.50
4. Step 4: Simplify right side
   38,160x = 3,819,054,602.25
5. Step 5: Solve for x
   x = 3,819,054,602.25/38,160
6. Step 6: Final answer
   x = 100,080.05